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Semi‐discrete operators in multivariate setting: Convergence properties and applications
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2023
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Carlo Bardaro
Noemi Broccatelli
Ilaria Mantellını
Marco Seracini
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Exponential sampling with a multiplier
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2023
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Carlo Bardaro
Ilaria Mantellını
Gerhard Schmeißer
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+
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Classical and Approximate Exponential Sampling Formula: Their Interconnections in Uniform and Mellin–Lebesgue Norms
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2023
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellini
Gerhard Schmeißer
R. L. Stens
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Convergence of semi-discrete exponential sampling operators in Mellin–Lebesgue spaces
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2022
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Carlo Bardaro
Ilaria Mantellını
Ilenia Tittarelli
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Polar-Analytic Functions: Old and New Results, Applications
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2022
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
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Boundedness properties of semi-discrete sampling operators in Mellin–Lebesgue spaces
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2021
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Carlo Bardaro
Ilaria Mantellını
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A Class of Integral Operators that Fix Exponential Functions
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2021
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Carlo Bardaro
Ilaria Mantellını
Gümrah Uysal
Başar Yılmaz
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A survey on recent results in Korovkin’s approximation theory in modular spaces
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2021
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Ilaria Mantellını
Antonio Boccuto
Carlo Bardaro
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Life and work of Domenico Candeloro: an appreciation
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2020
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Carlo Bardaro
Patrizia Pucci
Anna Rita Sambucını
Gianluca Vıntı
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On a Durrmeyer-type modification of the Exponential sampling series
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2020
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Carlo Bardaro
Ilaria Mantellını
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Valiron’s Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions
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2020
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
|
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PDF
Chat
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Integration of polar-analytic functions and applications to Boas’ differentiation formula and Bernstein’s inequality in Mellin setting
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2020
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
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PDF
Chat
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Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves
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2019
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Carlo Bardaro
Giada BEVIGNANI
Ilaria Mantellını
Marco Seracini
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Exponential Sampling Series: Convergence in Mellin–Lebesgue Spaces
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2019
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Carlo Bardaro
Ilaria Mantellını
Gerhard Schmeißer
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+
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Development of a new concept of polar analytic functions useful in Mellin analysis
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2019
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
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A residue theorem for polar analytic functions and Mellin analogues of Boas' differentiation formula and Valiron's sampling formula
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2019
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
|
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PDF
Chat
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Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance
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2018
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
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Development of a complex function theory upon a new concept of polar-analytic functions
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2018
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellini
Gerhard Schmeißer
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Development of a complex function theory upon a new concept of polar-analytic functions; Extended version
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2018
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellini
Gerhard Schmeißer
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+
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Quadrature formulae for the positive real axis in the setting of Mellin analysis: Sharp error estimates in terms of the Mellin distance
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2018
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
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Development of a complex function theory upon a new concept of polar-analytic functions; Extended version
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2018
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellini
Gerhard Schmeißer
|
+
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Quadrature formulae for the positive real axis in the setting of Mellin analysis: Sharp error estimates in terms of the Mellin distance
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2018
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
|
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PDF
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A generalization of the exponential sampling series and its approximation properties
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2017
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Carlo Bardaro
Loris Faina
Ilaria Mantellını
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PDF
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A generalization of the Paley–Wiener theorem for Mellin transforms and metric characterization of function spaces
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2017
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
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PDF
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A fresh approach to the Paley–Wiener theorem for Mellin transforms and the Mellin–Hardy spaces
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2017
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
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On Pointwise Approximation Properties of Multivariate Semi-discrete Sampling Type Operators
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2017
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Carlo Bardaro
Ilaria Mantellını
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+
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A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces
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2017
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
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+
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Mellin analysis and its basic associated metric—applications to sampling theory
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2016
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
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+
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A generalization of the exponential sampling series and its approximation properties
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2016
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Carlo Bardaro
Loris Faina
Ilaria Mantellini
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+
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Mellin Analysis and its distance concept. Applications to sampling theory
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2016
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellini
Gerhard Schmeißer
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+
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On the Paley–Wiener theorem in the Mellin transform setting
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2016
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
Gerhard Schmeißer
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PDF
Chat
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Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series
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2016
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Carlo Bardaro
Loris Faina
Ilaria Mantellını
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+
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Multivariate semi-discrete sampling type operators: pointwise approximation properties
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2016
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Carlo Bardaro
Ilaria Mantellini
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PDF
Chat
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Function Spaces, Approximation Theory, and Their Applications
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2016
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Carlo Bardaro
Ioan Raşa
R. L. Stens
Gianluca Vıntı
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+
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A generalization of the exponential sampling series and its approximation properties
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2016
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Carlo Bardaro
Loris Faina
Ilaria Mantellını
|
+
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Mellin Analysis and its distance concept. Applications to sampling theory
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2016
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellini
Gerhard Schmeißer
|
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PDF
Chat
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Multivariate generalized sampling type series: estimates of pointwise convergence
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2015
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Carlo Bardaro
Ilaria Mantellını
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+
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On the Paley-Wiener theorem in the Mellin transform setting
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2015
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellini
Gerhard Schmeißer
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The Mellin–Parseval formula and its interconnections with the exponential sampling theorem of optical physics
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2015
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
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PDF
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QUANTITATIVE APPROXIMATION PROPERTIES FOR ITERATES OF MOMENT OPERATOR
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2015
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Carlo Bardaro
Loris Faina
Ilaria Mantellını
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The Foundations of Fractional Calculus in the Mellin Transform Setting with Applications
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2015
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
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+
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Triangular A-Statistical Approximation by Double Sequences of Positive Linear Operators
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2015
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Carlo Bardaro
Antonio Boccuto
Kami̇l Demi̇rci̇
Ilaria Mantellını
Sevda Orhan
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Korovkin-Type Theorems for Modular<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>Ψ</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>A</mml:mi></mml:mrow></mml:math>-Statistical Convergence
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2015
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Carlo Bardaro
Antonio Boccuto
Kami̇l Demi̇rci̇
Ilaria Mantellını
Sevda Orhan
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On the Paley-Wiener theorem in the Mellin transform setting
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2015
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellini
Gerhard Schmeißer
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Generalized Sampling Approximation for Multivariate Discontinuous Signals and Applications to Image Processing
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2014
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Carlo Bardaro
Ilaria Mantellını
R. L. Stens
Jörg Vautz
Gianluca Vıntı
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+
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Asymptotic expansion of generalized Durrmeyer sampling type series
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2014
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Carlo Bardaro
Ilaria Mantellini
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+
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The foundations of fractional Mellin transform analysis
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2014
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P. L. Butzer
Carlo Bardaro
Ilaria Mantellini
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PDF
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The Exponential Sampling Theorem of Signal Analysis and the Reproducing Kernel Formula in the Mellin Transform Setting
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2014
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Carlo Bardaro
P. L. Butzer
Ilaria Mantellını
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+
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On pointwise convergence of nets of Mellin-Kantorovich convolution operators
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2013
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Carlo Bardaro
Ilaria Mantellini
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+
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On Mellin convolution operators: a direct approach to the asymptotic formulae
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2013
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Carlo Bardaro
Ilaria Mantellını
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PDF
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Asymptotic Formulae for Linear Combinations of Generalized Sampling Operators
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2013
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Carlo Bardaro
Ilaria Mantellını
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+
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On Linear Combinations of Multivariate Generalized Sampling Type Series
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2013
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Carlo Bardaro
Ilaria Mantellını
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PDF
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Abstract Korovkin-type theorems in modular spaces and applications
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2013
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Carlo Bardaro
Antonio Boccuto
Xenofon Dimitriou
Ilaria Mantellını
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Modular filter convergence theorems for abstract sampling type operators
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2012
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Carlo Bardaro
Antonio Boccuto
Xenofon Dimitriou
Ilaria Mantellını
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+
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On Voronovskaja formula for linear combinations of Mellin–Gauss–Weierstrass operators
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2012
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Carlo Bardaro
Ilaria Mantellını
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+
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On the Iterates of Mellin-Fejer Convolution Operators
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2012
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Carlo Bardaro
Ilaria Mantellını
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+
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On Convergence Properties for a Class of Kantorovich Discrete Operators
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2012
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Carlo Bardaro
Ilaria Mantellini
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+
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Approximation properties for linear combinations of moment type operators
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2011
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Carlo Bardaro
Ilaria Mantellını
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+
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A note on the Voronovskaja theorem for Mellin–Fejer convolution operators
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2011
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Carlo Bardaro
Ilaria Mantellını
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+
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Asymptotic formulae for multivariate Kantorovich type generalized sampling series
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2011
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Carlo Bardaro
Ilaria Mantellını
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+
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The moments of the bivariate Mellin–Picard-type kernels and applications
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2011
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Carlo Bardaro
Ilaria Mantellını
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+
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Nonlinear integral operators with homogeneous kernels: pointwise approximation theorems
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2011
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Carlo Bardaro
Gianluca Vıntı
Harun Karslı
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+
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Asymptotic behaviour of Mellin-Fejer convolution operators
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2011
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Carlo Bardaro
Ilaria Mantellini
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+
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Bivariate Mellin convolution operators: Quantitative approximation theorems
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2010
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Carlo Bardaro
Ilaria Mantellını
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+
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A quantitative asymptotic formula for a general class of discrete operators
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2010
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Carlo Bardaro
Ilaria Mantellını
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+
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A Quantitative Voronovskaya Formula for Mellin Convolution Operators
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2010
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Carlo Bardaro
Ilaria Mantellını
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+
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Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence
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2010
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Carlo Bardaro
Ilaria Mantellını
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+
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Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
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2010
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Carlo Bardaro
P. L. Butzer
R. L. Stens
Gianluca Vıntı
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+
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Voronovskaya formulae for Kantorovich type generalized sampling series
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2010
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Carlo Bardaro
Ilaria Mantellini
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+
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Asymptotic formulae for bivariate discrete operators. Applications to generalized sampling seriesand Szasz-Mirak'jan type operators
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2010
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Carlo Bardaro
Ilaria Mantellini
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PDF
Chat
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A Voronovskaya-Type Theorem for a General Class of Discrete Operators
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2009
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Carlo Bardaro
Ilaria Mantellini
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+
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A quantitative Voronovskaja formula for generalized sampling operators
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2009
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Carlo Bardaro
Ilaria Mantellini
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PDF
Chat
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A Korovkin theorem in multivariate modular function spaces
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2009
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Carlo Bardaro
Ilaria Mantellını
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+
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Asymptotic formulae for bivariate Mellin convolution operators
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2008
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Carlo Bardaro
Ilaria Mantellını
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+
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On pointwise convergence of linear integral operators with homogeneous kernels
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2008
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Carlo Bardaro
Gianluca Vıntı
Harun Karslı
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+
PDF
Chat
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Multivariate moment type operators: approximation properties in Orlicz spaces
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2008
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Carlo Bardaro
Ilaria Mantellini
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+
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Voronovskaya-Type Estimates for Mellin Convolution Operators
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2007
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Carlo Bardaro
Ilaria Mantellını
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+
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Kantorovich-Type Generalized Sampling Series in the Setting of Orlicz Spaces
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2007
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Carlo Bardaro
Gianluca Vıntı
P. L. Butzer
R. L. Stens
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Korovkin theorem in modular spaces
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2007
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Carlo Bardaro
Ilaria Mantellini
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+
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Uniform modular integrability and convergence properties for a class of Urysohn integral operators in function spaces
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2006
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Carlo Bardaro
Ilaria Mantellini
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+
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Pointwise convergence theorems for nonlinear Mellin convolution operators
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2006
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Carlo Bardaro
Ilaria Mantellını
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+
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Estimates and superpositions of general nonlinear sampling operators and applications
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2006
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Carlo Bardaro
Ilaria Mantellini
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+
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Approximation properties in abstract modular spaces for a class of general sampling-type operators
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2005
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Carlo Bardaro
Ilaria Mantellini
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+
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Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
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2005
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Carlo Bardaro
P. L. Butzer
R. L. Stens
Gianluca Vıntı
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ON GLOBAL APPROXIMATION PROPERTIES OF ABSTRACT INTEGRAL OPERATORS IN ORLICZ SPACES AND APPLICATIONS
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2005
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Carlo Bardaro
Ilaria Mantellini
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Regular methods of summability and abstract Urysohn type operators
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2004
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Carlo Bardaro
Ilaria Mantellını
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+
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On the order of BV_phi approximation of convolution integral operators over the line group
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2004
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Carlo Bardaro
Gianluca Vinti
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+
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An Abstract Approach to Sampling-Type Operators inspired by the Work of P.L.Butzer
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2004
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Carlo Bardaro
Gianluca Vıntı
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+
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An Abstract Approach to Sampling-Type Operators inspired by the Work of P.L.Butzer
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2003
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Carlo Bardaro
Gianluca Vıntı
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+
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Chapter 8. Uniform approximation by sampling type operators. Applications in signal analysis
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2003
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Carlo Bardaro
Julian Musielak
Gianluca Vinti
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+
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Chapter 4. Urysohn integral operators with homogeneous kernel functions. Applications to nonlinear Mellin-type convolution operators
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2003
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Carlo Bardaro
Julian Musielak
Gianluca Vinti
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+
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Chapter 7. Application to nonlinear integral equations
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2003
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Carlo Bardaro
Julian Musielak
Gianluca Vinti
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+
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Chapter 3. Approximation by convolution type operators
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2003
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Carlo Bardaro
Julian Musielak
Gianluca Vinti
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+
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Chapter 5. Summability methods by convolution-type operators
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2003
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Carlo Bardaro
Julian Musielak
Gianluca Vinti
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+
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Chapter 9. Modular approximation by sampling type operators
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2003
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Carlo Bardaro
Julian Musielak
Gianluca Vinti
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+
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Chapter 6. Nonlinear integral operators in the space BVϕ
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2003
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Carlo Bardaro
Julian Musielak
Gianluca Vinti
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+
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Nonlinear Integral Operators and Applications
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2003
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Carlo Bardaro
Julian Musielak
Gianluca Vıntı
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+
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Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals
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2003
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Carlo Bardaro
P. L. Butzer
R. L. Stens
Gianluca Vıntı
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+
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On reconstruction of functions by means of nonlinear discrete operators
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2003
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Carlo Bardaro
Ilaria Mantellini
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+
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On some estimates for general sampling operators and approximation properties
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2003
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Carlo Bardaro
Ilaria Mantellini
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PDF
Chat
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ON NONLINEAR INTEGRAL EQUATIONS IN SOME FUNCTION SPACES
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2002
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Carlo Bardaro
Julian Musielak
Gianluca Vıntı
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+
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On approximation properties of Urysohn integral operators
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2002
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Carlo Bardaro
Ilaria Mantellını
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+
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On a singularity concept for kernels of nonlinear integral operators
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2002
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Carlo Bardaro
Ilaria Mantellini
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+
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Urysohn integral operators with homogeneous kernel: approximation properties in modular spaces
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2002
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Carlo Bardaro
Gianluca Vıntı
|
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PDF
Chat
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Approximation by Riemann sums in modular spaces
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2001
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Carlo Bardaro
Julian Musielak
Gianluca Vinti
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+
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Convergence in $BV_\varphi$ by nonlinear Mellin-type convolution operators
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2001
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Carlo Bardaro
Sarah Sciamannini
Gianluca Vinti
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+
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On Nonlinear Integro-differential Operators in Generalized Orlicz–Sobolev Spaces
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2000
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Carlo Bardaro
Julian Musielak
Gianluca Vıntı
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+
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Nonlinear integral operators in modular Lipschitz classes: rates of modular approximation
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2000
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Carlo Bardaro
Gianluca Vinti
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+
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The work of calogero vinti in approximation theory and its impact in calculus of variations
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2000
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Carlo Bardaro
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+
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LINEAR INTEGRAL OPERATORS WITH HOMOGENEOUS KERNEL: APPROXIMATION PROPERTIES IN MODULAR SPACES. APPLICATIONS TO MELLIN-TYPE CONVOLUTION OPERATORS AND TO SOME CLASSES OF FRACTIONAL OPERATORS
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2000
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Carlo Bardaro
Ilaria Mantellini
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PDF
Chat
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Corrigendum to the paper “a general approach to the covergence theorems of generalized sampling series”
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1999
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Carlo Bardaro
Gianluca Vinti
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+
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The contribution of J. Musielak research to the theory of nonlinear integral operators
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1999
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Carlo Bardaro
Gianluca Vinti
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+
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Uniform Convergence and Rate of Approximation for a Nonlinear Version of the Generalized Sampling Operator
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1998
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Carlo Bardaro
Gianluca Vıntı
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+
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On the ergodic theorem in some spaces of random variables
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1998
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Carlo Bardaro
Julian Musielak
Gianluca Vıntı
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+
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Some modular inequalities related to Fubini-Tonelli theorem
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1998
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Carlo Bardaro
Julian Musielak
Gianluca Vinti
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+
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Modular approximation by sequences of nonlinear integral operators in Musielak-Orlicz spaces
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1998
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Carlo Bardaro
Ilaria Mantellini
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+
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A general approach to the convergence theorems of generalized sampling series
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1997
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Carlo Bardaro
Gianluca Vinti
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+
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Nonlinear operators of integral type in some function spaces
|
1997
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Carlo Bardaro
Gianluca Vıntı
Julian Musielak
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+
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A modular convergence theorem for certain nonlinear integral operators with homogeneous kernel
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1997
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Carlo Bardaro
Gianluca Vıntı
|
+
PDF
Chat
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Approximation by nonlinear integral operators in some modular function spaces
|
1996
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Carlo Bardaro
Julian Musielak
Gianluca Vıntı
|
+
PDF
Chat
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Some inclusion theorems for Orlicz and Musielak-Orlicz type spaces
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1995
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Carlo Bardaro
Gianluca Vıntı
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+
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Modular estimates for linear operators in Musielak-Orlicz spaces on groups
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1995
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Carlo Bardaro
Gianluca Vinti
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+
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Modular estimates and modular convergence for linear integral operators
|
1995
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Carlo Bardaro
Gianluca Vinti
|
+
PDF
Chat
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Some generalizations in <i>H</i>-modular spaces of Fan's best approximation theorem
|
1994
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Carlo Bardaro
Rita Ceppitelli
|
+
PDF
Chat
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Modular Convergence Theorems in Fractional Musielak-Orlicz Spaces
|
1994
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Carlo Bardaro
Gianluca Vıntı
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+
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General convergence theorem with respect to Cesari variation and applications
|
1994
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Carlo Bardaro
Gianluca Vıntı
|
+
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Modular Estimates of Integral Operators with Homogeneous Kernels in Orlicz Type Classes
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1991
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Carlo Bardaro
Gianluca Vıntı
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+
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Some estimates of certain integral operators in generalized fractional orlicz classes
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1991
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Carlo Bardaro
Gianluca Vıntı
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+
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On approximation properties of certain non-convolution integral operators
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1990
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Carlo Bardaro
Gianluca Vıntı
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+
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Fixed point theorems and vector valued minimax theorems
|
1990
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Carlo Bardaro
Rita Ceppitelli
|
+
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Modular convergence in generalized orlicz spaces for moment type operators
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1989
|
Carlo Bardaro
Gianluca Vinti
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+
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Applications of the generalized Knaster-Kuratowski-Mazurkiewicz Theorem to variational inequalities
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1989
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Carlo Bardaro
Rita Ceppitelli
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+
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Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
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1988
|
Carlo Bardaro
Rita Ceppitelli
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+
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Una caratterizzazione degli spazi di Banach normati in senso forte e la variazione di funzioni a valori vettoriali
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1987
|
Carlo Bardaro
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+
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Sull' approssimazione di una funzione con integrali singolari
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1985
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Carlo Bardaro
Candida Gori
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+
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Sul grado di approssimazione per una classe di integrali singolari
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1984
|
Carlo Bardaro
Candida Gori
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+
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Some contributions to the theory of multivalued differential equations
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1983
|
Carlo Bardaro
Patrizia Pucci
|
+
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Teoremi di approssimazione per l'integrale multiplo del calcolo delle variazioni
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1981
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Carlo Bardaro
Domenico Candeloro
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+
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Sulla derivazione relativamente ad una funzione continua per applicazioni a valori in uno spazio di Banach
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1980
|
Carlo Bardaro
|
+
|
Sull'estensione di un teorema di E. Baiada alle multifunzioni
|
1979
|
Carlo Bardaro
C. Gori Cocchieri
|
+
|
Un teorema di esistenza per equazioni contingenti in spazi di Banach
|
1978
|
Carlo Bardaro
Patrizia Pucci
|
+
|
Sull'approssimazione dell'integrale di Burkill-Cesari di funzionali sublineari su misure ed applicazioni all'integrale multiplo del calcolo delle variazioni
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1977
|
Carlo Bardaro
Domenico Candeloro
|