SU\G(𝔸)/K·U

A. S. Romanyuk

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All published works
Action Title Year Authors
+ The best $m$-term trigonometric approximations of the classes of periodic functions of one and many variables in the space $B_{q,1}$ 2024 Kateryna Pozharska
A. S. Romanyuk
+ PDF Chat The best $m$-term trigonometric approximations of the classes of periodic functions of one and many variables in the space $B_{q,1}$ 2024 Kateryna Pozharska
A. S. Romanyuk
+ Найкращі наближення класів періодичних функцій багатьох змінних з обмеженою домінуючою мішаною похідною 2024 Kateryna Pozharska
A. S. Romanyuk
S. Ya. Yanchenko
+ Widths and entropy numbers of the classes of periodic functions of one and several variables in the space $B_{q,1}$ 2024 Kateryna Pozharska
A. S. Romanyuk
V. S. Romanyuk
+ PDF Chat Estimates for the approximation characteristics of the Nikol'skii-Besov classes of functions with mixed smoothness in the space $B_{q,1}$ 2024 Kateryna Pozharska
A. S. Romanyuk
+ PDF Chat Characteristics of linear and nonlinear approximation of isotropic classes of periodic multivariate functions 2023 A. S. Romanyuk
V. S. Romanyuk
Kateryna Pozharska
Svitlana B. Hembars’ka
+ Estimates for the entropy numbers of the Nikol'skii–Besov classes of functions with mixed smoothness in the space of quasi‐continuous functions 2023 A. S. Romanyuk
S. Ya. Yanchenko
+ Approximation of the Classes of Periodic Functions of One and Many Variables from the Nikol’skii–Besov and Sobolev Spaces 2022 A. S. Romanyuk
S. Ya. Yanchenko
+ Kolmogorov Widths of the Nikol’skii–Besov Classes of Periodic Functions of Many Variables in the Space of Quasicontinuous Functions 2022 A. S. Romanyuk
S. Ya. Yanchenko
+ Estimates of Approximating Characteristics and the Properties of the Operators of Best Approximation for the Classes of Periodic Functions in the Space B1,1 2022 A. S. Romanyuk
S. Ya. Yanchenko
+ PDF Chat Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol’skii–Besov spaces 2021 A. S. Romanyuk
V. S. Romanyuk
+ Estimates for the entropy numbers of the Nikol'skii-Besov classes of periodic functions of many variables in the space of quasi-continuous functions 2021 A. S. Romanyuk
+ Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol'skii-Besov spaces 2020 A. S. Romanyuk
V. S. Romanyuk
+ Estimation of Some Approximating Characteristics of the Classes of Periodic Functions of One and Many Variables 2019 A. S. Romanyuk
V. S. Romanyuk
+ Approximating Characteristics of the Classes of Periodic Multivariate Functions in the Space B∞,1 2019 A. S. Romanyuk
V. S. Romanyuk
+ Entropy Numbers and Widths for the Nikol’skii–Besov Classes of Functions of Many Variables in the Space L∞ 2018 A. S. Romanyuk
+ Kolmogorov Widths and Bilinear Approximations of the Classes of Periodic Functions of One and Many Variables 2018 A. S. Romanyuk
+ Trigonometric and Linear Widths for the Classes of Periodic Multivariate Functions 2017 A. S. Romanyuk
+ Entropy Numbers and Widths for the Classes B p , θ r $$ {B}_{p,\theta}^r $$ of Periodic Functions of Many Variables 2017 A. S. Romanyuk
+ Estimation of the Best Linear Approximations for the Classes B p , θ r $$ {B}_{\mathrm{p},\theta}^{\mathrm{r}} $$ and Singular Numbers of the Integral Operators 2017 A. S. Romanyuk
V. S. Romanyuk
+ Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol’skii–Besov Classes of Periodic Functions of Many Variables 2016 A. S. Romanyuk
+ On the Problem of Linear Widths of the Classes B p,θ r of Periodic Functions of Many Variables 2014 A. S. Romanyuk
+ Best Bilinear Approximations for the Classes of Functions of Many Variables 2014 A. S. Romanyuk
V. S. Romanyuk
+ Best trigonometric and bilinear approximations of classes of functions of several variables 2013 A. S. Romanyuk
+ Best bilinear approximations of functions from Nikol’skii–Besov classes 2012 A. S. Romanyuk
V. S. Romanyuk
+ Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables 2010 A. S. Romanyuk
V. S. Romanyuk
+ Approximation of classes $B_{p,\theta }^r$ of periodic functions of one and several variables 2010 A. S. Romanyuk
+ Trigonometric and orthoprojection widths of classes of periodic functions of many variables 2009 A. S. Romanyuk
V. S. Romanyuk
+ Approximative characteristics of the isotropic classes of periodic functions of many variables 2009 A. S. Romanyuk
+ Best approximations and widths of classes of periodic functions of several variables 2008 A. S. Romanyuk
+ Best trigonometric approximations for some classes of periodic functions of several variables in the uniform metric 2007 A. S. Romanyuk
+ Best approximations of the classes B p,θ r of periodic functions of many variables in uniform metric 2006 A. S. Romanyuk
+ Bilinear and trigonometric approximations of periodic functions of several variables of Besov classes $ B_{p, \theta}^r$ 2006 A. S. Romanyuk
+ Kolmogorov and trigonometric widths of the Besov classes $ B^r_{p,\theta}$ of multivariate periodic functions 2006 A. S. Romanyuk
+ Approximability of the classes $ B_{p,\theta}^r$ of periodic functions of several variables by linear methods and best approximations 2004 A. S. Romanyuk
+ Best $ M$-term trigonometric approximations of Besov classes of periodic functions of several variables 2003 A. S. Romanyuk
+ None 2002 A. S. Romanyuk
+ None 2001 A. S. Romanyuk
+ None 2001 A. S. Romanyuk
+ International conference on the theory of approximation of functions and its applications dedicated to the memory of V. K. Dzyadyk 1999 А. И. Степанец
A. S. Romanyuk
A. S. Serdyuk
+ Trigonometric widths of the classes B p,θ r of functions of many variables in the space L q 1998 A. S. Romanyuk
+ The second school “Fourier series. Theory and Applications” 1997 O. I. Stepanets’
A. S. Romanyuk
A. S. Serdyuk
+ On estimates of approximation characteristics of the Besov classes of periodic functions of many variables 1997 A. S. Romanyuk
+ Approximation of classes of functions of many variables by their orthogonal projections onto subspaces of trigonometric polynomials 1996 A. S. Romanyuk
+ Best trigonometric and bilinear approximations for the Besov classes of functions of many variables 1995 A. S. Romanyuk
+ On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables 1995 A. S. Romanyuk
+ On Kolmogorov widths of classesB p,? r of periodic functions of many variables with low smoothness in the spacel q 1994 A. S. Romanyuk
+ The best trigonometric and bilinear approximations for functions of many variables from the classesB p, θ r . II 1993 A. S. Romanyuk
+ The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables 1993 A. S. Romanyuk
+ Best trigonometric and bilinear approximations of functions of several variables from the classes Bp,?r� I 1992 A. S. Romanyuk
+ Approximation of classes of periodic functions of several variables 1992 A. S. Romanyuk
+ Approximation of the Besov classes of periodic functions of several variables in a space Lq 1991 A. S. Romanyuk
Common Coauthors
Coauthor Papers Together
V. S. Romanyuk 11
Kateryna Pozharska 6
S. Ya. Yanchenko 5
A. S. Serdyuk 2
O. I. Stepanets’ 1
Svitlana B. Hembars’ka 1
А. И. Степанец 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Approximation of functions with bounded mixed derivative 1989 Владимир Николаевич Темляков
 30
+ Approximation of the Besov classes of periodic functions of several variables in a space Lq 1991 A. S. Romanyuk
 17
+ Uber Die Beste Annaherung Von Funktionen Einer Gegebenen Funktionenklasse 1936 A. Kolmogoroff
 15
+ Approximation to periodic functions 1981 M. J. D. Powell
 12
+ Estimates of Entropy Numbers and Gaussian Measures for Classes of Functions with Bounded Mixed Derivative 1998 Eduard Belinsky
 12
+ The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables 1993 A. S. Romanyuk
 10
+ On bestm-term approximations and the entropy of sets in the spaceL 1 1994 Борис Сергеевич Кашин
Vladimir Temlyakov
 10
+ Approximating Characteristics of the Classes of Periodic Multivariate Functions in the Space B∞,1 2019 A. S. Romanyuk
V. S. Romanyuk
 10
+ PDF Chat Hyperbolic Cross Approximation 2018 Đinh Dũng
Vladimir Temlyakov
Tino Ullrich
 9
+ DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS 1974 Р. С. Исмагилов
 9
+ Exact Constants in Approximation Theory 1991 Н. П. Корнейчук
 8
+ Entropy Numbers and Widths for the Classes B p , θ r $$ {B}_{p,\theta}^r $$ of Periodic Functions of Many Variables 2017 A. S. Romanyuk
 8
+ Approximation of functions of several variables by trigonometric polynomials with given number of harmonics, and estimates of ε-entropy 1989 É. S. Belinskii
 8
+ PDF Chat Certain problems of closest approximation 1933 Dunham Jackson
 8
+ Estimation of Some Approximating Characteristics of the Classes of Periodic Functions of One and Many Variables 2019 A. S. Romanyuk
V. S. Romanyuk
 8
+ ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES 1961 Sergei M Nikol'skii
 7
+ PDF Chat Nonlinear Approximation by Trigonometric Sums 1995 Ronald DeVore
Vladimir Temlyakov
 7
+ Approximability of the classes $ B_{p,\theta}^r$ of periodic functions of several variables by linear methods and best approximations 2004 A. S. Romanyuk
 6
+ DIAMETERS OF CLASSES OF SMOOTH FUNCTIONS 1980 Klaus Höllig
 6
+ Approximation of classes of periodic functions of several variables by nuclear operators 1990 Э.М. Галеев
 6
+ An Inequality for Trigonometric Polynomials and Its Application for Estimating the Entropy Numbers 1995 Vladimir Temlyakov
 5
+ Approximation of Functions of Several Variables and Imbedding Theorems 1975 Sergei Mihailovic Nikol’skii
 5
+ Approximation characteristics of the classes B p,θ Ω of periodic functions of many variables 2006 S. A. Stasyuk
O. V. Fedunyk
 5
+ On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables 1995 A. S. Romanyuk
 5
+ Best trigonometric and bilinear approximations of functions of several variables from the classes Bp,?r� I 1992 A. S. Romanyuk
 5
+ Best $ M$-term trigonometric approximations of Besov classes of periodic functions of several variables 2003 A. S. Romanyuk
 5
+ Entropy numbers, s-numbers, and eigenvalue problems 1981 Bernd Carl
 5
+ Greedy Algorithm and m -Term Trigonometric Approximation 1998 Vladimir Temlyakov
 5
+ PDF Chat An inequality for the entropy numbers and its application 2013 Vladimir Temlyakov
 5
+ Estimate of approximate characteristics for classes of functions with bounded mixed derivative 1995 Борис Сергеевич Кашин
Vladimir Temlyakov
 4
+ The best approximations and widths of the classes of periodical functions of one and several variables in the space $B_{\infty, 1}$ 2019 Mykhailo V. Hembars’kyi
Svitlana B. Hembars’ka
K. V. Solich
 4
+ Orders of the orthoprojection widths of classes of periodic functions of one and of several variables 1988 Э.М. Галеев
 4
+ Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol’skii–Besov Classes of Periodic Functions of Many Variables 2016 A. S. Romanyuk
 4
+ Approximation of Periodic Functions 2012 Johan de Villiers
 4
+ The best trigonometric and bilinear approximations for functions of many variables from the classesB p, θ r . II 1993 A. S. Romanyuk
 4
+ Bilinear and trigonometric approximations of periodic functions of several variables of Besov classes $ B_{p, \theta}^r$ 2006 A. S. Romanyuk
 4
+ Best trigonometric and bilinear approximations for the Besov classes of functions of many variables 1995 A. S. Romanyuk
 4
+ Estimates of Approximating Characteristics and the Properties of the Operators of Best Approximation for the Classes of Periodic Functions in the Space B1,1 2022 A. S. Romanyuk
S. Ya. Yanchenko
 4
+ Non-linear Approximations Using Sets of Finite Cardinality or Finite Pseudo-dimension 2001 Ðinh Dũng
 4
+ PDF Chat Subspaces of small codimension of finite-dimensional Banach spaces 1986 Alain Pajor
Nicole Tomczak-Jaegermann
 3
+ On the entropy numbers of the mixed smoothness function classes 2017 Vladimir Temlyakov
 3
+ DIAMETERS OF SOME FINITE-DIMENSIONAL SETS AND CLASSES OF SMOOTH FUNCTIONS 1977 B S Kašin
 3
+ On nonequivalence of the C- and QC-norms in the space of trigonometric polynomials 2016 Artyom Olegovich Radomskii
 3
+ ε-Entropy and ε-Capacity of Sets In Functional Spaces 1993 V. М. Tikhomirov
 3
+ APPROXIMATION BY A “FLOATING” SYSTEM OF EXPONENTIALS ON CLASSES OF SMOOTH PERIODIC FUNCTIONS 1988 É. S. Belinskii
 3
+ Approximation by Fourier sums of classes of functions with several bounded derivatives 1978 Э.М. Галеев
 3
+ DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS 1960 V. М. Tikhomirov
 3
+ Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables 2010 A. S. Romanyuk
V. S. Romanyuk
 3
+ APPROXIMATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES BY TRIGONOMETRIC POLYNOMIALS, AND WIDTHS OF SOME CLASSES OF FUNCTIONS 1986 Vladimir Temlyakov
 3
+ The approximation in the Lp metric of differentiable functions of several variables by Fourier sums 1974 N. S. Nikol'skaya
 3