1

On the Cauchy-Schwarz Inequality

Horst Alzer
Journal:
Journal of Mathematical Analysis and Applications
Year:
1999
Language:
english
File:
PDF, 223 KB
english, 1999
2

Some Gamma Function Inequalities

Horst Alzer
Journal:
Mathematics of Computation
Year:
1993
Language:
english
File:
PDF, 687 KB
english, 1993
3

A Proof of the Arithmetic Mean-Geometric Mean Inequality

Horst Alzer
Journal:
American Mathematical Monthly
Year:
1996
Language:
english
File:
PDF, 99 KB
english, 1996
4

An inequality for the exponential function

Horst Alzer
Journal:
Archiv der Mathematik
Year:
1990
Language:
english
File:
PDF, 89 KB
english, 1990
5

Series representations for special functions and mathematical constants

Alzer, Horst, Richards, Kendall C.
Journal:
The Ramanujan Journal
Year:
2016
Language:
english
File:
PDF, 216 KB
english, 2016
7

On Young's Inequality

Alzer, Horst, Kwong, Man Kam
Journal:
Journal of Mathematical Analysis and Applications
Year:
2018
Language:
english
File:
PDF, 278 KB
english, 2018
8

Sharp inequalities for the harmonic numbers

Horst Alzer
Journal:
Expositiones Mathematicae
Year:
2006
Language:
english
File:
PDF, 104 KB
english, 2006
9

On a trigonometric sum of Vinogradov

Horst Alzer, Stamatis Koumandos
Journal:
Journal of Number Theory
Year:
2004
Language:
english
File:
PDF, 208 KB
english, 2004
10

On a converse Cauchy inequality of D. Zagier

Horst Alzer
Journal:
Archiv der Mathematik
Year:
1992
Language:
english
File:
PDF, 92 KB
english, 1992
11

A characterization of Euler’s constant

Alzer, Horst
Journal:
Expositiones Mathematicae
Year:
2013
Language:
english
File:
PDF, 237 KB
english, 2013
12

Sharp upper and lower bounds for the exponential function

Alzer, Horst
Journal:
International Journal of Mathematical Education
Year:
1993
Language:
english
File:
PDF, 468 KB
english, 1993
13

Some inequalities for arithmetic and geometric means

Alzer, Horst
Journal:
Proceedings of the Royal Society of Edinburgh Section A Mathematics
Year:
1999
Language:
english
File:
PDF, 312 KB
english, 1999
14

Sharp inequalities for the digamma and polygamma functions

Alzer, Horst
Journal:
Forum Mathematicum
Year:
2004
Language:
english
File:
PDF, 270 KB
english, 2004
16

A Refinement of Carleman's Inequality

Horst Alzer
Journal:
Journal of Approximation Theory
Year:
1998
Language:
english
File:
PDF, 126 KB
english, 1998
17

A refinement of the Cauchy-Schwarz inequality

Horst Alzer
Journal:
Journal of Mathematical Analysis and Applications
Year:
1992
Language:
english
File:
PDF, 279 KB
english, 1992
18

On Turán's inequality for Legendre polynomials

Horst Alzer, Stefan Gerhold, Manuel Kauers, Alexandru Lupaş
Journal:
Expositiones Mathematicae
Year:
2007
Language:
english
File:
PDF, 134 KB
english, 2007
19

Normalized binomial mid-coefficients and power means

Horst Alzer, Bent Fuglede
Journal:
Journal of Number Theory
Year:
2005
Language:
english
File:
PDF, 134 KB
english, 2005
20

A subadditive property of the gamma function

Horst Alzer, Stephan Ruscheweyh
Journal:
Journal of Mathematical Analysis and Applications
Year:
2003
Language:
english
File:
PDF, 116 KB
english, 2003
21

On rational approximation of (1 −x)σ

Horst Alzer
Journal:
Archiv der Mathematik
Year:
1996
Language:
english
File:
PDF, 141 KB
english, 1996
22

Inequalities for Means in Two Variables

Horst Alzer, Song-liang Qiu
Journal:
Archiv der Mathematik
Year:
2003
Language:
english
File:
PDF, 134 KB
english, 2003
23

Some classes of completely monotonic functions, II

Horst Alzer, Christian Berg
Journal:
The Ramanujan Journal
Year:
2006
Language:
english
File:
PDF, 349 KB
english, 2006
25

A convexity property and a new characterization of Euler’s gamma function

Alzer, Horst, Matkowski, Janusz
Journal:
Archiv der Mathematik
Year:
2013
Language:
english
File:
PDF, 187 KB
english, 2013
26

A Sharp Inequality for a Trigonometric Sum

Horst Alzer, Stamatis Koumandos
Journal:
Mediterranean Journal of Mathematics
Year:
2013
Language:
english
File:
PDF, 240 KB
english, 2013
27

On some inequalities for the gamma and psi functions

Alzer, Horst
Journal:
Mathematics of Computation
Year:
1997
Language:
english
File:
PDF, 326 KB
english, 1997
28

A Series with Harmonic Numbers: 11302

Horst Alzer
Journal:
American Mathematical Monthly
Year:
2009
Language:
english
File:
PDF, 263 KB
english, 2009
29

An Unsettled Inequality: 10337

Horst Alzer and M. J. Pelling
Journal:
American Mathematical Monthly
Year:
1999
Language:
english
File:
PDF, 197 KB
english, 1999
30

A NEW REFINEMENT OF YOUNG'S INEQUALITY

Alzer, Horst, Koumandos, Stamatis
Journal:
Proceedings of the Edinburgh Mathematical Society
Year:
2007
Language:
english
File:
PDF, 144 KB
english, 2007
31

Sharp estimates for various trigonometric sums

Alzer, Horst, Koumandos, Stamatis
Journal:
Analysis (Oldenbourg Wissenschaftsverlag)
Year:
2012
Language:
english
File:
PDF, 166 KB
english, 2012
32

Refinements of Ky Fan’s inequality

Alzer, Horst
Journal:
Proceedings of the American Mathematical Society
Year:
1993
Language:
english
File:
PDF, 458 KB
english, 1993
33

Inequalities for Mean Values in Two Variables

Horst Alzer,
Journal:
Real Analysis Exchange
Year:
2016
Language:
english
File:
PDF, 406 KB
english, 2016
34

A series representation for $\pi$

Alzer, Horst
Journal:
Elemente der Mathematik
Year:
2019
Language:
english
File:
PDF, 86 KB
english, 2019
35

Sharp Bounds for the Ratio of q – Gamma Functions

Horst Alzer
Journal:
Mathematische Nachrichten
Year:
2001
Language:
english
File:
PDF, 148 KB
english, 2001
36

On Rational Approximation toe

Horst Alzer
Journal:
Journal of Number Theory
Year:
1998
Language:
english
File:
PDF, 259 KB
english, 1998
37

Inequalities for the median of the gamma distribution

José A. Adell, Horst Alzer
Journal:
Journal of Computational and Applied Mathematics
Year:
2009
Language:
english
File:
PDF, 639 KB
english, 2009
38

A Turán-type inequality for the gamma function

Horst Alzer, Giovanni Felder
Journal:
Journal of Mathematical Analysis and Applications
Year:
2009
Language:
english
File:
PDF, 147 KB
english, 2009
39

A converse of a matrix inequality

Horst Alzer
Journal:
Linear Algebra and its Applications
Year:
2001
Language:
english
File:
PDF, 48 KB
english, 2001
40

On Gautschi's harmonic mean inequality for the gamma function

Horst Alzer
Journal:
Journal of Computational and Applied Mathematics
Year:
2003
Language:
english
File:
PDF, 133 KB
english, 2003
41

Note on a discrete Opial-type inequality

Horst Alzer
Journal:
Archiv der Mathematik
Year:
1995
Language:
english
File:
PDF, 167 KB
english, 1995
42

On some inequalities of Opial-type

Horst Alzer
Journal:
Archiv der Mathematik
Year:
1994
Language:
english
File:
PDF, 242 KB
english, 1994
44

Remarks on a sine polynomial

Horst Alzer, Stamatis Koumandos
Journal:
Archiv der Mathematik
Year:
2009
Language:
english
File:
PDF, 122 KB
english, 2009
45

On Bernstein's inequality for ultraspherical polynomials

Horst Alzer
Journal:
Archiv der Mathematik
Year:
1997
Language:
english
File:
PDF, 113 KB
english, 1997
46

Inequalities for the harmonic numbers

Horst Alzer
Journal:
Mathematische Zeitschrift
Year:
2011
Language:
english
File:
PDF, 222 KB
english, 2011
47

A Power Mean Inequality for the Gamma Function

Horst Alzer
Journal:
Monatshefte für Mathematik
Year:
2000
Language:
english
File:
PDF, 96 KB
english, 2000
48

Series representations forγand other mathematical constants

Horst Alzer, Stamatis Koumandos
Journal:
Analysis Mathematica
Year:
2008
Language:
english
File:
PDF, 141 KB
english, 2008
49

Series and product representations for some mathematical constants

Horst Alzer, Stamatis Koumandos
Journal:
Periodica Mathematica Hungarica
Year:
2009
Language:
english
File:
PDF, 130 KB
english, 2009
50

Gamma function inequalities

Horst Alzer
Journal:
Numerical Algorithms
Year:
2008
Language:
english
File:
PDF, 516 KB
english, 2008