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+
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Mean value inequalities for the Riemann zeta function
|
2024
|
Horst Alzer
Man Kam Kwong
|
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+
|
Polynomials and Combinatorial Identities
|
2024
|
Horst Alzer
|
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+
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Formulas for Bernoulli Numbers and Polynomials
|
2024
|
Ulrich Abel
Horst Alzer
|
|
+
PDF
Chat
|
Inequalities for 1/(1-cos(x)) and its derivatives
|
2024
|
Horst Alzer
H. Pedersen
|
|
+
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Combinatorial identities and hypergeometric functions, II
|
2024
|
Horst Alzer
|
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+
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Inequalities for trigonometric sums
|
2024
|
Horst Alzer
Man Kam Kwong
|
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+
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On the sine polynomials of Fejér and Lukács
|
2024
|
Horst Alzer
Man Kam Kwong
|
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+
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Sharp Bounds for a Sine Sum
|
2024
|
Horst Alzer
Man Kam Kwong
|
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+
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Bilinearity of the Cauchy exponential difference
|
2024
|
Horst Alzer
Janusz Matkowski
|
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+
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Refinement of Gautschi's harmonic mean inequality for the gamma function
|
2023
|
Horst Alzer
|
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+
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Remarks on a Lemma of Schmidt
|
2023
|
Horst Alzer
Man Kam Kwong
Ioan Raşa
|
|
+
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An inequality for the ratio of Legendre and Chebyshev polynomials
|
2023
|
Horst Alzer
Hans Volkmer
|
|
+
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Mean Value Inequalities for the Digamma Function
|
2023
|
Horst Alzer
Man Kam Kwong
|
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+
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Identities for combinatorial sums involving trigonometric functions
|
2023
|
Horst Alzer
Semyon Yakubovich
|
|
+
|
Extension of an inequality of Ramanujan
|
2023
|
Horst Alzer
|
|
+
PDF
Chat
|
Addendum to Two identities for complex numbers with applications to special sequences and functions, \#A10 of Volume 23
|
2023
|
Horst Alzer
Man Kam Kwong
|
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+
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On a One-Parameter Class of Cosine Polynomials
|
2023
|
Horst Alzer
Man Kam Kwong
|
|
+
PDF
Chat
|
Two identities for complex numbers with applications to special sequences and functions
|
2023
|
Horst Alzer
Man Kam Kwong
|
|
+
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Inequalities for trigonometric sums
|
2023
|
Horst Alzer
Man Kam Kwong
|
|
+
|
COMBINATORIAL IDENTITIES AND HYPERGEOMETRIC FUNCTIONS
|
2022
|
Horst Alzer
Kendall C. Richards
|
|
+
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On a combinatorial identity of Gavrea and Ivan and related results
|
2022
|
Horst Alzer
Omran Kouba
|
|
+
|
FUNCTIONAL INEQUALITIES FOR THE q-DIGAMMA FUNCTION
|
2022
|
Horst Alzer
Ahmed Salem
|
|
+
|
Inequalities involving $\pi(x)$
|
2022
|
Horst Alzer
Man Kam Kwong
József Sándor
|
|
+
|
An inequality for Fibonacci numbers
|
2022
|
Horst Alzer
Florian Luca
|
|
+
|
Sharp inequalities for sine polynomials
|
2022
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On a combinatorial identity of Chaundy and Bullard
|
2022
|
Horst Alzer
Omran Kouba
|
|
+
PDF
Chat
|
Two parameterized series representations for the digamma function
|
2022
|
Horst Alzer
Junesang Choi
|
|
+
|
Identities for combinatorial sums involving trigonometric functions
|
2022
|
Horst Alzer
Semyon Yakubovich
|
|
+
|
INEQUALITIES FOR WEIGHTED ARITHMETIC AND GEOMETRIC MEANS
|
2021
|
Horst Alzer
|
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+
|
A mean value inequality for the cyclic functions
|
2021
|
Horst Alzer
|
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+
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An inequality for the ratio of polynomials
|
2021
|
Horst Alzer
|
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+
|
A harmonic mean inequality for the q-gamma function
|
2021
|
Horst Alzer
Ahmed Salem
|
|
+
|
Applications of the Formula of Faà di Bruno: Combinatorial Identities and Monotonic Functions
|
2021
|
Horst Alzer
Omran Kouba
|
|
+
PDF
Chat
|
Inequalities for Taylor series involving the divisor function
|
2021
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Inequalities for sine sums with more variables
|
2021
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On a Trigonometric Inequality of Szegő
|
2021
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On a trigonometric inequality of Szegő and Schweitzer
|
2021
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Further improvements of Askey-Steinig’s inequalities for finite sums involving sine and cosine
|
2020
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Inequalities for Taylor series involving the divisor function
|
2020
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On the zeros of lacunary-type polynomials
|
2020
|
Horst Alzer
Man Kam Kwong
Gradimir V. Milovanović
|
|
+
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On Ivády’s bounds for the gamma function and related results
|
2020
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On the Functional Inequality $$f(x)f(y)-f(xy)\le f(x)+f(y)-f(x+y)$$
|
2020
|
Horst Alzer
Luís Salinas
|
|
+
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A Generalization of the Fejér–Jackson Inequality and Related Results
|
2020
|
Horst Alzer
Man Kam Kwong
|
|
+
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A concavity property of the complete elliptic integral of the first kind
|
2020
|
Horst Alzer
Kendall C. Richards
|
|
+
PDF
Chat
|
Inequalities for the arithmetical functions of Euler and Dedekind
|
2020
|
Horst Alzer
Man Kam Kwong
|
|
+
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Remarks on a Convexity Theorem of Raşa
|
2020
|
Horst Alzer
|
|
+
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Classes of Nonnegative Sine Polynomials
|
2020
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Inequalities for Weighted Trigonometric Sums
|
2020
|
Horst Alzer
Omran Kouba
|
|
+
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Identities and Inequalities for Sums Involving Binomial Coefficients.
|
2020
|
Horst Alzer
Helmut Prodinger
|
|
+
PDF
Chat
|
A chain of mean value inequalities
|
2020
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Combinatorial Identities and Inequalities for Trigonometric Sums
|
2020
|
Horst Alzer
Omran Kouba
Man Kam Kwong
|
|
+
|
Inequalities for Taylor series involving the divisor function
|
2020
|
Horst Alzer
Man Kam Kwong
|
|
+
|
A variant of the Fejér–Jackson inequality
|
2019
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Four parametric linear Euler sums
|
2019
|
Horst Alzer
Junesang Choi
|
|
+
|
A series representation for $\pi$
|
2019
|
Horst Alzer
|
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+
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Inequalities for trigonometric sums and applications
|
2019
|
Horst Alzer
Man Kam Kwong
|
|
+
|
A monotonicity property of the Mittag–Leffler function
|
2019
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Sharp Bounds for the Arc Lemniscate Sine Function
|
2019
|
Horst Alzer
Man Kam Kwong
|
|
+
|
New inequalities of Fejer--Jackson-type
|
2019
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On Engel's Inequality for Bell Numbers.
|
2019
|
Horst Alzer
|
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+
|
Inequalities for the exponential function
|
2019
|
Horst Alzer
|
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+
|
Sharp Bounds for the Arc Lemniscate Sine Function
|
2019
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Grünbaum-Type Inequalities for Gamma and Incomplete Gamma Functions
|
2018
|
Horst Alzer
Man Kam Kwong
|
|
+
|
New Series Representations for Apéry’s and Other Classical Constants
|
2018
|
Horst Alzer
Anthony Sofo
|
|
+
|
On Young's inequality
|
2018
|
Horst Alzer
Man Kam Kwong
|
|
+
PDF
Chat
|
A two-parameter class of completely monotonic functions
|
2018
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On a trigonometric inequality of Askey and Steinig
|
2018
|
Horst Alzer
Man Kam Kwong
|
|
+
PDF
Chat
|
On a sine polynomial of Turán
|
2018
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On Ruehr's Identities.
|
2018
|
Horst Alzer
Helmut Prodinger
|
|
+
|
A duplication theorem for the Hermite polynomials
|
2018
|
Horst Alzer
|
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+
|
On Jordan’s inequality
|
2017
|
Horst Alzer
Man Kam Kwong
|
|
+
PDF
Chat
|
Identities involving Bernoulli and Euler polynomials
|
2017
|
Horst Alzer
Semyon Yakubovich
|
|
+
|
Complete monotonicity of a function related to the binomial probability
|
2017
|
Horst Alzer
|
|
+
|
Identities involving Bernoulli and Euler polynomials
|
2017
|
Horst Alzer
Semyon Yakubovich
|
|
+
PDF
Chat
|
A harmonic mean inequality for the digamma function and related results
|
2017
|
Horst Alzer
G. J. O. Jameson
|
|
+
|
On Fejér's inequalities for the Legendre polynomials
|
2017
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Inequalities for combinatorial sums
|
2017
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On inequalities for alternating trigonometric sums
|
2017
|
Horst Alzer
Man Kam Kwong
|
|
+
PDF
Chat
|
The Riemann zeta function and classes of infinite series
|
2017
|
Horst Alzer
Junesang Choi
|
|
+
|
Identities involving Bernoulli and Euler polynomials
|
2017
|
Horst Alzer
Semyon Yakubovich
|
|
+
PDF
Chat
|
Diophantine equations involving factorials
|
2016
|
Horst Alzer
Florian Luca
|
|
+
|
On a Sine Polynomial of Turan
|
2016
|
Horst Alzer
Man Kam Kwong
|
|
+
|
A Cauchy-Type Functional Inequality for the Error Function
|
2016
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On a cosine polynomial of Turán and its sine counterpart
|
2016
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Inequalities for the ratio of complete elliptic integrals
|
2016
|
Horst Alzer
Kendall C. Richards
|
|
+
|
Combinatorial identities and trigonometric inequalities
|
2016
|
Horst Alzer
Man Kam Kwong
Hao Pan
|
|
+
|
Inequalities for Mean Values in Two Variables
|
2016
|
Horst Alzer
|
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+
|
Notes on a combinatorial identity
|
2016
|
Horst Alzer
Helmut Prodinger
|
|
+
|
A Mean Value Inequality for Euler's Beta Function
|
2016
|
Horst Alzer
R. B. Paris
|
|
+
|
On a Sine Polynomial of Turan
|
2016
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Sharp upper and lower bounds for a sine polynomial
|
2015
|
Horst Alzer
Man Kam Kwong
|
|
+
PDF
Chat
|
A Hardy–Littlewood integral inequality on finite intervals with a concave weight
|
2015
|
Horst Alzer
Man Kam Kwong
|
|
+
|
The Hurwitz zeta function: monotonicity, convexity and inequalities
|
2015
|
Horst Alzer
|
|
+
|
A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities
|
2015
|
Horst Alzer
Kendall C. Richards
|
|
+
PDF
Chat
|
A refinement of Vietoris’ inequality for cosine polynomials
|
2015
|
Horst Alzer
Man Kam Kwong
|
|
+
|
A Refinement of Vietoris Inequality for Cosine Polynomials
|
2015
|
Horst Alzer
Man Kam Kwong
|
|
+
|
A Hardy-Littlewood Integral Inequality on Finite Intervals with a Concave Weight
|
2015
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On the modulus of the Grötzsch ring
|
2015
|
Horst Alzer
Kendall C. Richards
|
|
+
|
Series representations for special functions and mathematical constants
|
2015
|
Horst Alzer
Kendall C. Richards
|
|
+
|
On a combinatorial sum
|
2015
|
Horst Alzer
|
|
+
|
On the concavity of Dirichlet's eta function and related functional inequalities
|
2015
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On inequalities for the gamma function
|
2015
|
Horst Alzer
|
|
+
|
A Refinement of Vietoris Inequality for Cosine Polynomials
|
2015
|
Horst Alzer
Man Kam Kwong
|
|
+
|
A Hardy-Littlewood Integral Inequality on Finite Intervals with a Concave Weight
|
2015
|
Horst Alzer
Man Kam Kwong
|
|
+
|
On an inequality from Information Theory
|
2014
|
Horst Alzer
|
|
+
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An integral inequality for cosine polynomials
|
2014
|
Horst Alzer
Allal Guessab
|
|
+
|
Inequalities involving gamma and digamma functions
|
2014
|
Horst Alzer
Chao-Ping Chen
|
|
+
|
Sub- and super-additive properties of the psi function
|
2014
|
Horst Alzer
|
|
+
|
A Kuczma-type functional inequality for error and complementary error functions
|
2014
|
Horst Alzer
|
|
+
|
Young-type inequalities and their matrix analogues
|
2014
|
Horst Alzer
Carlos M. da Fonseca
Alexander Kovačec
|
|
+
|
Identities for Bernoulli polynomials and Bernoulli numbers
|
2014
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Extension of a trigonometric inequality of Turän
|
2014
|
Horst Alzer
Man Kam Kwong
|
|
+
|
A subadditive property of the error function
|
2014
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Rogosinski–Szegö type inequalities for trigonometric sums
|
2014
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Inequalities for the beta function
|
2014
|
Horst Alzer
|
|
+
|
Sturm Theorem and a Refinement of Vietoris Inequality for Cosine Polynomials
|
2014
|
Horst Alzer
Man Kam Kwong
|
|
+
|
Remarks on a Sum Involving Binomial Coefficients
|
2014
|
Horst Alzer
|
|
+
|
On boole's formula for factorials
|
2014
|
Horst Alzer
Robin Chapman
|
|
+
PDF
Chat
|
On a Divisibility Problem
|
2013
|
Horst Alzer
József Sándor
|
|
+
|
An inequality for the function π(n)
|
2013
|
Horst Alzer
|
|
+
|
A convexity property and a new characterization of Euler’s gamma function
|
2013
|
Horst Alzer
Janusz Matkowski
|
|
+
|
A characterization of Euler’s constant
|
2013
|
Horst Alzer
|
|
+
PDF
Chat
|
Cyclic mean-value inequalities for the gamma function
|
2013
|
Horst Alzer
|
|
+
|
A FUNCTIONAL INEQUALITY FOR THE GAMMA FUNCTION
|
2012
|
Horst Alzer
|
|
+
|
On a trigonometric inequality of Turán
|
2012
|
Horst Alzer
Bent Fuglede
|
|
+
|
Inequalities for Alternating Trigonometric Sums
|
2012
|
Horst Alzer
Xiuping Liu
Xiquan Shi
|
|
+
|
A Sharp Inequality for a Trigonometric Sum
|
2012
|
Horst Alzer
Stamatis Koumandos
|
|
+
|
Sharp estimates for various trigonometric sums
|
2012
|
Horst Alzer
Stamatis Koumandos
|
|
+
|
On trigonometric sums in two variables
|
2012
|
Horst Alzer
Qinghe Yin
|
|
+
|
On the trigonometric polynomials of Fejér and Young
|
2011
|
Horst Alzer
Qinghe Yin
|
|
+
|
Functional inequalities for the incomplete gamma function
|
2011
|
Horst Alzer
Árpád Baricz
|
|
+
|
New permanental bounds for Ferrers matrices
|
2011
|
Horst Alzer
Carlos M. da Fonseca
|
|
+
|
Monotonicity Properties of the Riemann Zeta Function
|
2011
|
Horst Alzer
|
|
+
PDF
Chat
|
On a binomial coefficient and a product of prime numbers
|
2011
|
Horst Alzer
József Sándor
|
|
+
PDF
Chat
|
A refinement of Vietoris' inequality for sine polynomials
|
2010
|
Horst Alzer
Stamatis Koumandos
Martin Lamprecht
|
|
+
PDF
Chat
|
A trigonometric double-inequality
|
2010
|
Horst Alzer
|
|
+
|
Integral inequalities for self-reciprocal polynomials
|
2010
|
Horst Alzer
|
|
+
|
Inequalities for the harmonic numbers
|
2009
|
Horst Alzer
|
|
+
|
Remarks on a sine polynomial
|
2009
|
Horst Alzer
Stamatis Koumandos
|
|
+
|
SHARP BOUNDS FOR TRIGONOMETRIC POLYNOMIALS IN TWO VARIABLES
|
2009
|
Horst Alzer
Xiquan Shi
|
|
+
|
Functional inequalities for the error function, II
|
2009
|
Horst Alzer
|
|
+
|
Inequalities for Riemann’s zeta function
|
2009
|
Horst Alzer
|
|
+
|
On a function studied by Ramanujan and connected with discrete mixtures of gamma densities
|
2009
|
José A. Adell
Horst Alzer
|
|
+
|
Error function inequalities
|
2009
|
Horst Alzer
|
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+
|
Sharp upper and lower bounds for the gamma function
|
2009
|
Horst Alzer
|
|
+
|
Inequalities for the median of the gamma distribution
|
2009
|
José A. Adell
Horst Alzer
|
|
+
|
On rational approximation to | x |
|
2009
|
Horst Alzer
|
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+
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Series and product representations for some mathematical constants
|
2009
|
Horst Alzer
Stamatis Koumandos
|
|
+
|
A superadditive property of Hadamard’s gamma function
|
2009
|
Horst Alzer
|
|
+
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The complete monotonicity of a function studied by Miller and Moskowitz
|
2009
|
Horst Alzer
|
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+
|
A Series with Harmonic Numbers: 11302.
|
2009
|
Horst Alzer
|
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+
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Inequalities for the Volume of the Unit Ball in $$\mathbb {R}^{n}$$ , II
|
2008
|
Horst Alzer
|
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+
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A Turán-type inequality for the gamma function
|
2008
|
Horst Alzer
Giovanni Felder
|
|
+
|
HÖLDER-TYPE INEQUALITIES FOR THE POLYGAMMA FUNCTIONS
|
2008
|
Horst Alzer
|
|
+
|
Gamma function inequalities
|
2008
|
Horst Alzer
|
|
+
|
Series representations for γ and other mathematical constants
|
2008
|
Horst Alzer
Stamatis Koumandos
|
|
+
|
Inequalities for Euler's gamma function
|
2008
|
Horst Alzer
|
|
+
|
Inequalities for the median of the Gamma distribution
|
2008
|
José Antonio Adell Pascual
Horst Alzer
|
|
+
|
Inequalities for the tail of exponential series, II
|
2008
|
Horst Alzer
|
|
+
PDF
Chat
|
Sub- and superadditive properties of Euler's gamma function
|
2007
|
Horst Alzer
|
|
+
PDF
Chat
|
A NEW REFINEMENT OF YOUNG'S INEQUALITY
|
2007
|
Horst Alzer
Stamatis Koumandos
|
|
+
|
On the Partial Sums of a Fourier Series
|
2007
|
Horst Alzer
Stamatis Koumandos
|
|
+
PDF
Chat
|
On Turán's inequality for Legendre polynomials
|
2006
|
Horst Alzer
Stefan Gerhold
Manuel Kauers
Alexandru Lupaş
|
|
+
|
Monotonicity properties of the gamma function
|
2006
|
Horst Alzer
Necdet Batır
|
|
+
|
Inequalities for the gamma and q-gamma functions
|
2006
|
Horst Alzer
Arcadii Z. Grinshpan
|
|
+
|
A convexity property of the median of the gamma distribution
|
2006
|
Horst Alzer
|
|
+
|
Some classes of completely monotonic functions, II
|
2006
|
Horst Alzer
Christian Berg
|
|
+
|
Sharp inequalities for the harmonic numbers
|
2006
|
Horst Alzer
|
|
+
|
SUB- AND SUPERADDITIVE PROPERTIES OF FEJÉR'S SINE POLYNOMIAL
|
2006
|
Horst Alzer
Stamatis Koumandos
|
|
+
PDF
Chat
|
Inequalities for two sine polynomials
|
2006
|
Horst Alzer
Stamatis Koumandos
|
|
+
|
Some monotonic trigonometric sums
|
2006
|
Horst Alzer
Stamatis Koumandos
|
|
+
PDF
Chat
|
The inequality of Milne and its converse II
|
2006
|
Horst Alzer
Alexander Kovačec
|
|
+
PDF
Chat
|
A functional inequality for the polygamma functions
|
2005
|
Horst Alzer
|
|
+
PDF
Chat
|
ON A CONVEXITY THEOREM OF RUSKAI AND WERNER AND RELATED RESULTS
|
2005
|
Horst Alzer
|
|
+
PDF
Chat
|
Monotonicity Properties of the Hurwitz Zeta Function
|
2005
|
Horst Alzer
|
|
+
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Remark on a double-inequality for the Riemann zeta function
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2005
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Horst Alzer
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Series representations for some mathematical constants
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2005
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Horst Alzer
Dimitri Karayannakis
H. M. Srivastava
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Proof of the Chen–Rubin conjecture
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2005
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Horst Alzer
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Proof of the Chen–Rubin conjecture
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2005
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Horst Alzer
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Inequalities involving <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>Γ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi>Γ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
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2005
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Horst Alzer
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Companions of the inequalities of Fejér--Jackson and Young
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2005
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Horst Alzer
Stamatis Koumandos
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On a conjecture of Clark and Ismail
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2005
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Horst Alzer
Christian Berg
Stamatis Koumandos
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PDF
Chat
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Sharp Inequalities for the Hurwitz Zeta Function
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2005
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Horst Alzer
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Normalized binomial mid-coefficients and power means
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2005
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Horst Alzer
Bent Fuglede
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Monotonicity theorems and inequalities for the complete elliptic integrals
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2004
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Horst Alzer
Song-Liang Qiu
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PDF
Chat
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Sharp inequalities for trigonometric sums in two variables
|
2004
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Horst Alzer
Stamatis Koumandos
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On Ramanujan's Inequalities for exp( <i>k</i> )
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2004
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Horst Alzer
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Sharp inequalities for the digamma and polygamma functions
|
2004
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Horst Alzer
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On a trigonometric sum of Vinogradov
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2003
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Horst Alzer
Stamatis Koumandos
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ON RAMANUJAN'S DOUBLE INEQUALITY FOR THE GAMMA FUNCTION
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2003
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Horst Alzer
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Functional inequalities for the error function
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2003
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Horst Alzer
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A subadditive property of the gamma function
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2003
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Horst Alzer
Stephan Ruscheweyh
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Some beta-function inequalities
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2003
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Horst Alzer
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On Gautschi's harmonic mean inequality for the gamma function
|
2003
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Horst Alzer
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Inequalities of Fej�r-Jackson Type
|
2003
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Horst Alzer
Stamatis Koumandos
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PDF
Chat
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Inequalities for the beta function of <i>n</i> variables
|
2003
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Horst Alzer
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Inequalities for Means in Two Variables
|
2003
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Horst Alzer
Song-Liang Qiu
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PDF
Chat
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A sharp bound for a sine polynomial
|
2003
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Horst Alzer
Stamatis Koumandos
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+
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Sharp inequalities for trigonometric sums
|
2003
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Horst Alzer
Stamatis Koumandos
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+
PDF
Chat
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ON A GAMMA FUNCTION INEQUALITY OF GAUTSCHI
|
2002
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Horst Alzer
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PDF
Chat
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Inequalities for the Tail of the Exponential Series
|
2002
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Horst Alzer
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Inequalities for the constants of Landau and Lebesgue
|
2002
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Horst Alzer
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THE ARITHMETIC MEAN - GEOMETRIC MEAN INEQUALITY FOR COMPLEX NUMBERS
|
2002
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Horst Alzer
Stephan Ruscheweyh
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The inequality of Milne and its converse
|
2002
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Horst Alzer
Alexander Kovačec
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On Ky Fan-type inequalities
|
2001
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Horst Alzer
St. Ruscheweyh
Luís Salinas
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Inequalities for Cyclic Functions
|
2001
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Horst Alzer
Stephan Ruscheweyh
Luís Salinas
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On the intersection of two-parameter mean value families
|
2001
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Horst Alzer
Stephan Ruscheweyh
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Mean-value inequalities for the polygamma functions
|
2001
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Horst Alzer
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Sharp Bounds for the Ratio ofq - Gamma Functions
|
2001
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Horst Alzer
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Sharp inequalities for the beta function
|
2001
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Horst Alzer
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A converse of a matrix inequality
|
2001
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Horst Alzer
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A Power Mean Inequality for the Gamma Function
|
2000
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Horst Alzer
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Inequalities for the Volume of the Unit Ball in Rn
|
2000
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Horst Alzer
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Characterizations of the ratio of gamma and q-Gamma functions
|
2000
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Horst Alzer
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Inequalities for the Hurwitz zeta function
|
2000
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Horst Alzer
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A converse of Minkowski's inequality
|
2000
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Horst Alzer
Stephan Ruscheweyh
|
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PDF
Chat
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On Ozeki's inequality for power sums
|
2000
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Horst Alzer
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Sharp bounds for the Bernoulli numbers
|
2000
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Horst Alzer
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A mean-value inequality for the gamma function
|
2000
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Horst Alzer
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A sharp inequality for polynomials satisfying <i>p</i>(<i>z</i>)≡<i>z</i> <sup> <i>n</i> </sup> <i>p</i>(1/<i>z</i>)
|
1999
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Horst Alzer
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PDF
Chat
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Inequalities for the gamma function
|
1999
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Horst Alzer
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On the Cauchy-Schwarz Inequality
|
1999
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Horst Alzer
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Remark on the Stability of the Gamma Functional Equation
|
1999
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Horst Alzer
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A submultiplicative property of the psi function
|
1999
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Horst Alzer
Otto G. Ruehr
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Some inequalities for arithmetic and geometric means
|
1999
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Horst Alzer
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Inequalities for the Gamma and Polygamma Functions
|
1998
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Horst Alzer
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A Refinement of Carleman's Inequality
|
1998
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Horst Alzer
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Inequalities for the Polygamma Functions
|
1998
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Horst Alzer
J. H. Wells
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Sharp inequalities for the complete elliptic integral of the first kind
|
1998
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Horst Alzer
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Inequalities for the Chi Square Distribution Function
|
1998
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Horst Alzer
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A harmonic mean inequality for the gamma function [J. Comput. Appl. Math. 87 (1997) 195–198]
|
1998
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Horst Alzer
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On Mathieu's Inequality
|
1998
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Horst Alzer
J. L. Brenner
Otto G. Ruehr
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On Rational Approximation toe
|
1998
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Horst Alzer
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On segre’s theorem on asymmetric diophantine approximation
|
1997
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Horst Alzer
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A harmonic mean inequality for the gamma function
|
1997
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Horst Alzer
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+
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On Bernstein's inequality for ultraspherical polynomials
|
1997
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Horst Alzer
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+
PDF
Chat
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A New Refinement of the Arithmetic Mean Geometric Mean Inequality
|
1997
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Horst Alzer
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An Opial-type inequality involving higher-order derivatives of two functions
|
1997
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Horst Alzer
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Some integral and discrete inequalities in several independent variables
|
1997
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Horst Alzer
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+
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An Inequality for Cosine Polynomials
|
1997
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Horst Alzer
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PDF
Chat
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Comments on some inequalities of Pearce and Pečarić
|
1997
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Horst Alzer
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+
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Note on Wirtinger’s inequality
|
1997
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Horst Alzer
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+
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On an additive analogue of Ky Fan's inequality
|
1997
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Horst Alzer
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+
PDF
Chat
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On some inequalities for the gamma and psi functions
|
1997
|
Horst Alzer
|
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PDF
Chat
|
On some inequalities for the incomplete gamma function
|
1997
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Horst Alzer
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+
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On Ky Fan's Inequality and Its Additive Analogue
|
1996
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Horst Alzer
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On rational approximation of (1 ?x) ?
|
1996
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Horst Alzer
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+
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A Proof of the Arithmetic Mean-Geometric Mean Inequality
|
1996
|
Horst Alzer
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+
PDF
Chat
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NOTE ON AN INTEGRAL INEQUALITY FOR CONCAVE FUNCTIONS
|
1996
|
Horst Alzer
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+
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On a Problem of Littlewood
|
1996
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Horst Alzer
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Note on an inequality for regular functions
|
1996
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Horst Alzer
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+
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Discrete analogues of a Gronwall-type inequality
|
1996
|
Horst Alzer
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+
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Errata to: Note on an inequality involving .
|
1996
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Horst Alzer
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+
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Note on an extremal property of the Rudin-Shapiro sequence
|
1995
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Horst Alzer
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+
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Note on a discrete Opial-type inequality
|
1995
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Horst Alzer
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+
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Note on an inequality for infinite series
|
1995
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Horst Alzer
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+
PDF
Chat
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Generalization of an Inequality for Nondecreasing Sequences
|
1995
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Horst Alzer
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On the Zeroes of a Polynomial
|
1995
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Horst Alzer
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An Improvement of the Constants in a Reverse Integral Inequality
|
1995
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Horst Alzer
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+
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The inequality of Ky Fan and related results
|
1995
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Horst Alzer
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+
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On Discrete Inequalities Involving Arithmetic, Geometric, and Harmonic Means
|
1995
|
Horst Alzer
|
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+
PDF
Chat
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Two inequalities for series and sums
|
1995
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Horst Alzer
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+
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NOTE ON AN INEQUALITY INVOLVING ( n !) 1/n
|
1995
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Horst Alzer
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+
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Refinement of an inequality of G. Bennett
|
1994
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Horst Alzer
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On some inequalities of Opial-type
|
1994
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Horst Alzer
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An inequality for increasing sequences and its integral analogue
|
1994
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Horst Alzer
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PDF
Chat
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On Some Inequalities Involving $(n!)^{1/n}$
|
1994
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Horst Alzer
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+
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On some inequalities involving (n!)1/n, II
|
1994
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Horst Alzer
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On an Inequality of J.L. Brenner.
|
1994
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Horst Alzer
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Note on special arithmetic and geometric means
|
1994
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Horst Alzer
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An inequality and its application to Mahler’s partition function
|
1993
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Horst Alzer
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On an Inequality of H. Minc and L. Sathre
|
1993
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Horst Alzer
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Inequalities for the Tails of Some Elementary Series
|
1993
|
Horst Alzer
J. L. Brenner
Otto G. Ruehr
|
|
+
PDF
Chat
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A converse of an inequality of G. Bennett
|
1993
|
Horst Alzer
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+
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Sharp upper and lower bounds for the exponential function
|
1993
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Horst Alzer
|
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+
PDF
Chat
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Some gamma function inequalities
|
1993
|
Horst Alzer
|
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+
PDF
Chat
|
Refinements of Ky Fan’s inequality
|
1993
|
Horst Alzer
|
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+
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Inequalities for non-decreasing sequences
|
1993
|
Horst Alzer
|
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+
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On Carleman's inequality
|
1993
|
Horst Alzer
|
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+
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An inequality for arithmetic and harmonic means.
|
1993
|
Horst Alzer
|
|
+
PDF
Chat
|
Some Gamma Function Inequalities
|
1993
|
Horst Alzer
|
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+
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Refinements of Ky Fan's Inequality
|
1993
|
Horst Alzer
|
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+
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Refinement of an inequality of H. Kober
|
1992
|
Horst Alzer
|
|
+
PDF
Chat
|
On an Inequality for Nondecreasing Sequences
|
1992
|
Horst Alzer
|
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+
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A refinement of the Cauchy-Schwarz inequality
|
1992
|
Horst Alzer
|
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+
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On a double-inequality of Schlömilch-Lemonnier
|
1992
|
Horst Alzer
J. L. Brenner
|
|
+
PDF
Chat
|
A SHORT NOTE ON TWO INEQUALITIES FOR SINE POLYNOMIALS
|
1992
|
Horst Alzer
|
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+
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A functional inequality for real-analytic functions
|
1992
|
Bert Jagers
Horst Alzer
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+
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On a converse Cauchy inequality of D. Zagier
|
1992
|
Horst Alzer
|
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+
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Inequalities for pseudo arithmetic and geometric means
|
1992
|
Horst Alzer
|
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+
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A note on an inequality of G. Talenti
|
1992
|
Roland Lemmert
Horst Alzer
|
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+
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A note on Henrici’s inequalities
|
1992
|
J. L. Brenner
Horst Alzer
|
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+
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Converses of two inequalities of Ky Fan, O. Taussky, and J. Todd
|
1991
|
Horst Alzer
|
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+
PDF
Chat
|
ON AN INTEGRAL INEQUALITY OF R. BELLMAN
|
1991
|
Horst Alzer
|
|
+
PDF
Chat
|
A note on a functional inequality
|
1991
|
Horst Alzer
|
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+
|
Integral inequalities for concave functions with applications to special functions
|
1991
|
J. L. Brenner
Horst Alzer
|
|
+
PDF
Chat
|
On an Inequality of Gauss
|
1991
|
Horst Alzer
|
|
+
|
An inequality for the exponential function
|
1990
|
Horst Alzer
|
|
+
|
Über Eine Zweiparametrige Familie von Mittelwerten
|
1990
|
Horst Alzer
|
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+
|
Inequalities for Arithmetic, Geometric and Harmonic Means
|
1990
|
Horst Alzer
|
|
+
|
The inequalities of W. Sierpinski and Ky Fan
|
1990
|
Horst Alzer
Tsuyoshi Andô
Yoshihiro Nakamura
|
|
+
|
AN EXTENSION AND A CONVERSE OF KY FAN'S INEQUALITY
|
1990
|
Horst Alzer
|
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+
|
A converse of the arithmetic mean-geometric mean inequality
|
1990
|
Horst Alzer
|
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+
|
On Weighted Geometric Means
|
1989
|
Horst Alzer
|
|
+
PDF
Chat
|
An inequality of W. L. Wang and P. F. Wang
|
1989
|
Horst Alzer
|
|
+
|
On an inequality of Ky Fan
|
1989
|
Horst Alzer
|
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+
|
Ungleichungen für geometrische und arithmetische Mittelwerte
|
1988
|
Horst Alzer
|
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+
|
Verschärfung einer Ungleichung von Ky Fan
|
1988
|
Horst Alzer
|
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+
|
ÜBER DIE UNGLEICHUNG ZWISCHEN DEM GEOMETRISCHEN UND DEM ARITHMETISCHEN MITTEL
|
1987
|
Horst Alzer
|
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+
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Ungleichungen f�r Mittelwerte
|
1986
|
Horst Alzer
|