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Alzer, Horst

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Author ID: alzer.horst Recent zbMATH articles by "Alzer, Horst"
Published as: Alzer, H.; Alzer, Horst
External Links: MGP
Documents Indexed: 324 Publications since 1983, including 1 Book
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Serials

24 Journal of Mathematical Analysis and Applications
13 Archiv der Mathematik
10 Aequationes Mathematicae
8 Journal of Computational and Applied Mathematics
8 Proceedings of the American Mathematical Society
7 International Journal of Mathematical Education in Science and Technology
7 Periodica Mathematica Hungarica
7 Rocky Mountain Journal of Mathematics
7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
7 Journal of Approximation Theory
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Elemente der Mathematik
5 Analysis Mathematica
5 Results in Mathematics
5 Studia Scientiarum Mathematicarum Hungarica
4 Colloquium Mathematicum
4 Journal of Number Theory
4 Publicationes Mathematicae
4 Acta Mathematica Hungarica
4 Expositiones Mathematicae
4 Indagationes Mathematicae. New Series
4 Analysis and Applications (Singapore)
3 Discrete Mathematics
3 Mathematics of Computation
3 Acta Scientiarum Mathematicarum
3 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica
3 Bulletin of the London Mathematical Society
3 Mathematische Nachrichten
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Real Analysis Exchange
3 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
3 Tamkang Journal of Mathematics
3 Comptes Rendus Mathématiques de l’Académie des Sciences
3 Applied Mathematics Letters
3 Acta Mathematica Universitatis Comenianae. New Series
3 Mitteilungen der Mathematischen Gesellschaft in Hamburg
3 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse
3 Irish Mathematical Society Bulletin
3 The Ramanujan Journal
3 Analysis (München)
3 Integers
3 Mediterranean Journal of Mathematics
3 Jaen Journal on Approximation
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Applied Mathematics and Computation
2 Bayerische Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte
2 Canadian Mathematical Bulletin
2 Commentationes Mathematicae Universitatis Carolinae
2 Czechoslovak Mathematical Journal
2 Glasgow Mathematical Journal
2 International Journal of Mathematics and Mathematical Sciences
2 Monatshefte für Mathematik
2 Portugaliae Mathematica
2 Quaestiones Mathematicae
2 Rendiconti del Seminario Matematico della Università di Padova
2 Utilitas Mathematica
2 Bulletin de la Société Matheḿatique de Belgique. Série B
2 Complex Variables. Theory and Application
2 Analysis
2 Radovi Matematički
2 Forum Mathematicum
2 Mathematica Bohemica
2 Mathematica Pannonica
2 Linear Algebra and its Applications
2 Nieuw Archief voor Wiskunde. Vierde Serie
2 Integral Transforms and Special Functions
2 Journal of Inequalities and Applications
2 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
1 American Mathematical Monthly
1 Bulletin of the Australian Mathematical Society
1 Houston Journal of Mathematics
1 Linear and Multilinear Algebra
1 Archivum Mathematicum
1 Ars Combinatoria
1 Illinois Journal of Mathematics
1 Indagationes Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. L’Analyse Numérique et la Théorie de l’Approximation
1 Mathematische Zeitschrift
1 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse
1 Pure & Applied Mathematika Sciences
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Revista de la Unión Matemática Argentina
1 Zbornik Radova. Prirodno-Matematichkog Fakulteta. Serija za Matematiku
1 Southeast Asian Bulletin of Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Mathematica Universitatis Comenianae
1 Statistics & Probability Letters
1 Acta Applicandae Mathematicae
1 Constructive Approximation
1 Facta Universitatis. Series Mathematics and Informatics
1 Mathematica Balkanica. New Series
1 Mathematical and Computer Modelling
1 Asymptotic Analysis
1 Revista Matemática de la Universidad Complutense de Madrid
1 Numerical Algorithms
1 Buletinul Institutului Politehnic din Iaşi. Secţia I
1 Glasnik Matematički. Serija III
1 SIAM Journal on Mathematical Analysis
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
...and 17 more Serials

Publications by Year

Citations contained in zbMATH Open

204 Publications have been cited 1,437 times in 839 Documents Cited by Year
On some inequalities for the gamma and psi functions. Zbl 0854.33001
Alzer, Horst
176
1997
Monotonicity theorems and inequalities for the complete elliptic integrals. Zbl 1059.33029
Alzer, Horst; Qiu, Songliang
84
2004
Inequalities for means in two variables. Zbl 1020.26011
Alzer, Horst; Qiu, Song-liang
45
2003
Sharp inequalities for the diagramma and polygamma functions. Zbl 1048.33001
Alzer, Horst
37
2004
Ungleichungen für Mittelwerte. (Inequalities for means). Zbl 0585.26014
Alzer, Horst
37
1986
Some classes of completely monotonic functions. II. Zbl 1110.26015
Alzer, Horst; Berg, Christian
34
2006
Series representations for some mathematical constants. Zbl 1093.33010
Alzer, Horst; Karayannakis, Dimitri; Srivastava, H. M.
29
2006
Some classes of completely monotonic functions. Zbl 1021.26002
Alzer, Horst; Berg, Christian
29
2002
Some gamma function inequalities. Zbl 0802.33001
Alzer, Horst
29
1993
On Ramanujan’s double inequality for the gamma function. Zbl 1027.33002
Alzer, Horst
27
2003
Monotonicity properties of the gamma function. Zbl 1135.33300
Alzer, Horst; Batir, Necdet
25
2007
Inequalities for the gamma and polygamma functions. Zbl 0945.33003
Alzer, H.
24
1998
Mean-value inequalities for the polygamma functions. Zbl 0968.33003
Alzer, Horst
21
2001
Inequalities for the gamma function. Zbl 0966.33001
Alzer, Horst
20
2000
Inequalities for the gamma and \(q\)-gamma functions. Zbl 1108.33001
Alzer, Horst; Grinshpan, Arcadii Z.
19
2007
Sharp upper and lower bounds for the gamma function. Zbl 1188.33002
Alzer, Horst
18
2009
A power mean inequality for the gamma function. Zbl 0964.33002
Alzer, Horst
18
2000
On some inequalities for the incomplete gamma function. Zbl 0865.33002
Alzer, Horst
18
1997
The inequality of Ky Fan and related results. Zbl 0834.26013
Alzer, Horst
18
1995
Inequalities for the constants of Landau and Lebesgue. Zbl 0998.26019
Alzer, Horst
17
2002
Sharp inequalities for the complete elliptic integral of the first kind. Zbl 0906.33012
Alzer, Horst
17
1998
A subadditive property of the gamma function. Zbl 1129.33300
Alzer, Horst; Ruscheweyh, Stephan
16
2003
Inequalities for the volume of the unit ball in \(\mathbb{R}^n\). Zbl 0972.26015
Alzer, Horst
15
2000
On an inequality of H. Minc and L. Sathre. Zbl 0792.26008
Alzer, Horst
15
1993
A Turán-type inequality for the gamma function. Zbl 1198.33001
Alzer, Horst; Felder, Giovanni
14
2009
Inequalities for the ratio of complete elliptic integrals. Zbl 1360.33015
Alzer, Horst; Richards, Kendall
13
2017
Inequalities for the volume of the unit ball in \(\mathbb{R}^n\). II. Zbl 1181.26033
Alzer, Horst
13
2008
Sharp bounds for the ratio of \(q\)-gamma functions. Zbl 0968.33004
Alzer, Horst
13
2001
Young-type inequalities and their matrix analogues. Zbl 1316.15023
Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander
12
2015
Inequalities for the polygamma functions. Zbl 0907.33003
Alzer, Horst; Wells, Jim
12
1998
Sharp bounds for the Bernoulli numbers. Zbl 0960.11016
Alzer, Horst
11
2000
An inequality for the exponential function. Zbl 0723.26007
Alzer, Horst
11
1990
Sub- and superadditive properties of Euler’s Gamma function. Zbl 1126.33001
Alzer, Horst
10
2007
On an inequality of Ky Fan. Zbl 0668.26012
Alzer, Horst
10
1989
A new refinement of Young’s inequality. Zbl 1126.26015
Alzer, Horst; Koumandos, Stamatis
9
2007
On Turán’s inequality for Legendre polynomials. Zbl 1155.26012
Alzer, Horst; Gerhold, Stefan; Kauers, Manuel; Lupaş, Alexandru
9
2007
On a gamma function inequality of Gautschi. Zbl 1013.33001
Alzer, Horst
9
2002
On Mathieu’s inequality. Zbl 0904.26010
Alzer, Horst; Brenner, J. L.; Ruehr, O. G.
9
1998
A refinement of the Cauchy-Schwarz inequality. Zbl 0763.26012
Alzer, Horst
9
1992
On the modulus of the Grötzsch ring. Zbl 1327.30021
Alzer, Horst; Richards, Kendall
8
2015
Functional inequalities for the incomplete gamma function. Zbl 1231.33003
Alzer, Horst; Baricz, Árpád
8
2012
Error function inequalities. Zbl 1211.33002
Alzer, Horst
8
2010
Sub- and superadditive properties of Fejér’s sine polynomial. Zbl 1086.42001
Alzer, Horst; Koumandos, Stamatis
8
2006
Sharp inequalities for the beta function. Zbl 0983.33001
Alzer, Horst
8
2001
A new refinement of the arithmetic mean – geometric mean inequality. Zbl 0897.26004
Alzer, Horst
8
1997
Ungleichungen für \((e/a)^ a(b/e)^ b\). (Inequalities for \((e/a)^ a(b/e)^ b)\). Zbl 0596.26014
Alzer, H.
8
1985
Functional inequalities for the error function. II. Zbl 1208.33003
Alzer, Horst
7
2009
Series representations for \(\gamma\) and other mathematical constants. Zbl 1164.40001
Alzer, Horst; Koumandos, Stamatis
7
2008
On the partial sums of a Fourier series. Zbl 1152.42300
Alzer, Horst; Koumandos, Stamatis
7
2008
Sharp inequalities for the harmonic numbers. Zbl 1105.11003
Alzer, Horst
7
2006
Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\). Zbl 1091.33001
Alzer, Horst
7
2006
Companions of the inequalities of Fejér-Jackson and Young. Zbl 1082.26012
Alzer, Horst; Koumandos, Stamatis
7
2005
On Ramanujan’s inequalities for \(\exp(k)\). Zbl 1051.33001
Alzer, Horst
7
2004
Functional inequalities for the error function. Zbl 1072.33001
Alzer, Horst
7
2003
Sharp inequalities for trigonometric sums. Zbl 1034.26007
Alzer, Horst; Koumandos, Stamatis
7
2003
Best possible estimates for special means. Zbl 0815.26014
Alzer, Horst
7
1993
On the concavity of Dirichlet’s eta function and related functional inequalities. Zbl 1311.11087
Alzer, Horst; Kwong, Man Kam
6
2015
Proof of the Chen-Rubin conjecture. Zbl 1077.62005
Alzer, Horst
6
2005
A sharp bound for a sine polynomial. Zbl 1028.26011
Alzer, Horst; Koumandos, Stamatis
6
2003
Inequalities of Fejér-Jackson type. Zbl 1036.26012
Alzer, Horst; Koumandos, Stamatis
6
2003
A submultiplicative property of the psi function. Zbl 0943.33001
Alzer, Horst; Ruehr, O. G.
6
1999
On the Cauchy-Schwarz inequality. Zbl 0933.26010
Alzer, Horst
6
1999
A short proof of Ky Fan’s inequality. Zbl 0759.26014
Alzer, Horst
6
1991
Integral inequalities for concave functions with applications to special functions. Zbl 0736.26008
Brenner, J. L.; Alzer, Horst
6
1991
Inequalities for arithmetic, geometric and harmonic means. Zbl 0707.26014
Alzer, Horst
6
1990
Two inequalities for means. Zbl 0615.26015
Alzer, Horst
6
1987
A harmonic mean inequality for the digamma function and related results. Zbl 1366.33003
Alzer, Horst; Jameson, Graham
5
2017
Inequalities for two sine polynomials. Zbl 1091.26009
Alzer, Horst; Koumandos, Stamatis
5
2006
Sharp inequalities for trigonometric sums in two variables. Zbl 1099.42001
Alzer, Horst; Koumandos, Stamatis
5
2004
Inequalities for the Beta function of \(n\) variables. Zbl 1032.33001
Alzer, Horst
5
2003
On Gautschi’s harmonic mean inequality for the gamma function. Zbl 1021.33002
Alzer, Horst
5
2003
A harmonic mean inequality for the gamma function. Zbl 0888.33001
Alzer, Horst
5
1997
On some inequalities involving \((n!)^{1/n}\). Zbl 0826.26005
Alzer, Horst
5
1994
Converses of two inequalities of Ky Fan, O. Taussky, and J. Todd. Zbl 0747.26014
Alzer, Horst
5
1991
On Jordan’s inequality. Zbl 1413.26031
Alzer, Horst; Kwong, Man Kam
4
2018
A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities. Zbl 1363.33011
Alzer, Horst; Richards, Kendall
4
2015
Series and product representations for some mathematical constants. Zbl 1197.11013
Alzer, Horst; Koumandos, Stamatis
4
2009
Sharp bounds for trigonometric polynomials in two variables. Zbl 1180.42002
Alzer, Horst; Shi, Xiquan
4
2009
Gamma function inequalities. Zbl 1167.33001
Alzer, Horst
4
2008
Inequalities for Euler’s gamma function. Zbl 1163.33001
Alzer, Horst
4
2008
A functional inequality for the polygamma functions. Zbl 1095.39022
Alzer, Horst
4
2005
Remark on a double-inequality for the Riemann zeta function. Zbl 1114.11070
Alzer, Horst
4
2005
Normalized binomial mid-coefficients and power means. Zbl 1093.11008
Alzer, Horst; Fuglede, Bent
4
2005
Some beta-function inequalities. Zbl 1045.33003
Alzer, Horst
4
2003
Inequalities for the Hurwitz zeta function. Zbl 0997.11071
Alzer, Horst
4
2000
Remark on the stability of the gamma functional equation. Zbl 0929.39014
Alzer, Horst
4
1999
Refinement of an inequality of G. Bennett. Zbl 0835.26011
Alzer, Horst
4
1994
On some inequalities involving \((n!)^{1/n}\). II. Zbl 0835.26013
Alzer, H.
4
1994
A note on Hadamard’s inequalities. Zbl 0707.26012
Alzer, Horst
4
1989
Über eine einparametrige Familie von Mittelwerten. II. (On a one- parametric family of means. II). Zbl 0688.26009
Alzer, Horst
4
1989
Verschärfung einer Ungleichung von Ky Fan. Zbl 0655.26011
Alzer, Horst
4
1988
On Young’s inequality. Zbl 1400.26042
Alzer, Horst; Kwong, Man Kam
3
2019
On Ruehr’s identities. Zbl 06940847
Alzer, Horst; Prodinger, Helmut
3
2018
Sharp upper and lower bounds for a sine polynomial. Zbl 1410.26023
Alzer, Horst; Kwong, Man Kam
3
2016
A superadditive property of Hadamard’s gamma function. Zbl 1180.33001
Alzer, Horst
3
2009
A convexity property of the median of the gamma distribution. Zbl 1096.60010
Alzer, Horst
3
2006
Monotonicity properties of the Hurwitz zeta function. Zbl 1117.11047
Alzer, Horst
3
2005
Sharp inequalities for the Hurwitz zeta function. Zbl 1130.11048
Alzer, Horst
3
2005
On a conjecture of Clark and Ismail. Zbl 1071.33004
Alzer, Horst; Berg, Christian; Koumandos, Stamatis
3
2005
The inequality of Milne and its converse. Zbl 1004.26011
Alzer, Horst; Kovačec, Alexander
3
2002
Remarks on a convexity theorem of Raşa. Zbl 1435.26005
Alzer, Horst
1
2020
On two trigonometric inequalities of Askey and Steinig. Zbl 1431.26011
Alzer, Horst; Kwong, Man Kam
1
2020
Four parametric linear Euler sums. Zbl 1437.11123
Alzer, Horst; Choi, Junesang
1
2020
On Young’s inequality. Zbl 1400.26042
Alzer, Horst; Kwong, Man Kam
3
2019
On Jordan’s inequality. Zbl 1413.26031
Alzer, Horst; Kwong, Man Kam
4
2018
On Ruehr’s identities. Zbl 06940847
Alzer, Horst; Prodinger, Helmut
3
2018
On a trigonometric inequality of Askey and Steinig. Zbl 1391.42003
Alzer, Horst; Kwong, Man Kam
2
2018
Complete monotonicity of a function related to the binomial probability. Zbl 1377.33001
Alzer, Horst
2
2018
Identities involving Bernoulli and Euler polynomials. Zbl 1390.11047
Alzer, Horst; Yakubovich, Semyon
1
2018
Inequalities for the ratio of complete elliptic integrals. Zbl 1360.33015
Alzer, Horst; Richards, Kendall
13
2017
A harmonic mean inequality for the digamma function and related results. Zbl 1366.33003
Alzer, Horst; Jameson, Graham
5
2017
Sharp upper and lower bounds for a sine polynomial. Zbl 1410.26023
Alzer, Horst; Kwong, Man Kam
3
2016
A refinement of Vietoris’ inequality for cosine polynomials. Zbl 1345.26022
Alzer, Horst; Kwong, Man Kam
2
2016
Series representations for special functions and mathematical constants. Zbl 1416.33001
Alzer, Horst; Richards, Kendall C.
2
2016
Notes on a combinatorial identity. Zbl 1360.05016
Alzer, Horst; Prodinger, Helmut
1
2016
A parametrized series representation for Apery’s constant \(\zeta(3)\). Zbl 1342.11072
Alzer, Horst; Sondow, Jonathan
1
2016
Young-type inequalities and their matrix analogues. Zbl 1316.15023
Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander
12
2015
On the modulus of the Grötzsch ring. Zbl 1327.30021
Alzer, Horst; Richards, Kendall
8
2015
On the concavity of Dirichlet’s eta function and related functional inequalities. Zbl 1311.11087
Alzer, Horst; Kwong, Man Kam
6
2015
A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities. Zbl 1363.33011
Alzer, Horst; Richards, Kendall
4
2015
The Hurwitz zeta function: monotonicity, convexity and inequalities. Zbl 1336.11063
Alzer, Horst
2
2015
On a combinatorial sum. Zbl 1315.05137
Alzer, Horst
1
2015
Rogosinski-Szegő type inequalities for trigonometric sums. Zbl 1316.26018
Alzer, Horst; Kwong, Man Kam
1
2015
Inequalities involving gamma and digamma functions. Zbl 1374.33002
Alzer, Horst; Chen, Chao-Ping
2
2014
Inequalities for the beta function. Zbl 1299.33001
Alzer, Horst
2
2014
Two trigonometric identities. Zbl 1307.26001
Alzer, Horst; Chu, Wenchang
1
2014
Extension of a trigonometric inequality of Turán. Zbl 1324.26022
Alzer, Horst; Kwong, Man Kam
1
2014
A subadditive property of the error function. Zbl 1320.33005
Alzer, Horst; Kwong, Man Kam
1
2014
On Boole’s formula for factorials. Zbl 1296.05013
Alzer, Horst; Chapman, Robin
1
2014
Identities for Bernoulli polynomials and Bernoulli numbers. Zbl 1321.11024
Alzer, Horst; Kwong, Man Kam
1
2014
A convexity property and a new characterization of Euler’s gamma function. Zbl 1273.26014
Alzer, Horst; Matkowski, Janusz
2
2013
Inequalities for alternating trigonometric sums. Zbl 1272.26008
Alzer, Horst; Liu, Xiuping; Shi, Xiquan
1
2013
Functional inequalities for the incomplete gamma function. Zbl 1231.33003
Alzer, Horst; Baricz, Árpád
8
2012
On trigonometric sums in two variables. Zbl 1296.26050
Alzer, Horst; Yin, Qinghe
1
2012
On a trigonometric inequality of Turán. Zbl 1253.42001
Alzer, Horst; Fuglede, Bent
1
2012
Monotonicity properties of the Riemann zeta function. Zbl 1329.11086
Alzer, Horst
1
2012
Sharp estimates for various trigonometric sums. Zbl 1258.26012
Alzer, Horst; Koumandos, Stamatis
1
2012
Inequalities for the harmonic numbers. Zbl 1229.26030
Alzer, Horst
2
2011
On a binomial coefficient and a product of prime numbers. Zbl 1265.05023
Alzer, Horst; Sándor, József
1
2011
A monotonicity property of Euler’s gamma function. Zbl 1240.26018
Adell, J. A.; Alzer, H.
1
2011
Error function inequalities. Zbl 1211.33002
Alzer, Horst
8
2010
A refinement of Vietoris’ inequality for sine polynomials. Zbl 1202.42005
Alzer, Horst; Koumandos, Stamatis; Lamprecht, Martin
2
2010
Integral inequalities for self-reciprocal polynomials. Zbl 1202.30005
Alzer, Horst
2
2010
Sharp upper and lower bounds for the gamma function. Zbl 1188.33002
Alzer, Horst
18
2009
A Turán-type inequality for the gamma function. Zbl 1198.33001
Alzer, Horst; Felder, Giovanni
14
2009
Functional inequalities for the error function. II. Zbl 1208.33003
Alzer, Horst
7
2009
Series and product representations for some mathematical constants. Zbl 1197.11013
Alzer, Horst; Koumandos, Stamatis
4
2009
Sharp bounds for trigonometric polynomials in two variables. Zbl 1180.42002
Alzer, Horst; Shi, Xiquan
4
2009
A superadditive property of Hadamard’s gamma function. Zbl 1180.33001
Alzer, Horst
3
2009
Remarks on a sine polynomial. Zbl 1180.42001
Alzer, Horst; Koumandos, Stamatis
2
2009
Inequalities for Riemann’s zeta function. Zbl 1201.11086
Alzer, Horst
2
2009
Inequalities for the median of the gamma distribution. Zbl 1185.26034
Adell, José A.; Alzer, Horst
1
2009
Inequalities for the volume of the unit ball in \(\mathbb{R}^n\). II. Zbl 1181.26033
Alzer, Horst
13
2008
Series representations for \(\gamma\) and other mathematical constants. Zbl 1164.40001
Alzer, Horst; Koumandos, Stamatis
7
2008
On the partial sums of a Fourier series. Zbl 1152.42300
Alzer, Horst; Koumandos, Stamatis
7
2008
Gamma function inequalities. Zbl 1167.33001
Alzer, Horst
4
2008
Inequalities for Euler’s gamma function. Zbl 1163.33001
Alzer, Horst
4
2008
Monotonicity properties of the gamma function. Zbl 1135.33300
Alzer, Horst; Batir, Necdet
25
2007
Inequalities for the gamma and \(q\)-gamma functions. Zbl 1108.33001
Alzer, Horst; Grinshpan, Arcadii Z.
19
2007
Sub- and superadditive properties of Euler’s Gamma function. Zbl 1126.33001
Alzer, Horst
10
2007
A new refinement of Young’s inequality. Zbl 1126.26015
Alzer, Horst; Koumandos, Stamatis
9
2007
On Turán’s inequality for Legendre polynomials. Zbl 1155.26012
Alzer, Horst; Gerhold, Stefan; Kauers, Manuel; Lupaş, Alexandru
9
2007
Some classes of completely monotonic functions. II. Zbl 1110.26015
Alzer, Horst; Berg, Christian
34
2006
Series representations for some mathematical constants. Zbl 1093.33010
Alzer, Horst; Karayannakis, Dimitri; Srivastava, H. M.
29
2006
Sub- and superadditive properties of Fejér’s sine polynomial. Zbl 1086.42001
Alzer, Horst; Koumandos, Stamatis
8
2006
Sharp inequalities for the harmonic numbers. Zbl 1105.11003
Alzer, Horst
7
2006
Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\). Zbl 1091.33001
Alzer, Horst
7
2006
Inequalities for two sine polynomials. Zbl 1091.26009
Alzer, Horst; Koumandos, Stamatis
5
2006
A convexity property of the median of the gamma distribution. Zbl 1096.60010
Alzer, Horst
3
2006
Some monotonic trigonometric sums. Zbl 1132.42003
Alzer, Horst; Koumandos, Stamatis
2
2006
The inequality of Milne and its converse. II. Zbl 1092.26010
Alzer, Horst; Kovačec, Alexander
1
2006
Companions of the inequalities of Fejér-Jackson and Young. Zbl 1082.26012
Alzer, Horst; Koumandos, Stamatis
7
2005
Proof of the Chen-Rubin conjecture. Zbl 1077.62005
Alzer, Horst
6
2005
A functional inequality for the polygamma functions. Zbl 1095.39022
Alzer, Horst
4
2005
Remark on a double-inequality for the Riemann zeta function. Zbl 1114.11070
Alzer, Horst
4
2005
Normalized binomial mid-coefficients and power means. Zbl 1093.11008
Alzer, Horst; Fuglede, Bent
4
2005
Monotonicity properties of the Hurwitz zeta function. Zbl 1117.11047
Alzer, Horst
3
2005
Sharp inequalities for the Hurwitz zeta function. Zbl 1130.11048
Alzer, Horst
3
2005
On a conjecture of Clark and Ismail. Zbl 1071.33004
Alzer, Horst; Berg, Christian; Koumandos, Stamatis
3
2005
Monotonicity theorems and inequalities for the complete elliptic integrals. Zbl 1059.33029
Alzer, Horst; Qiu, Songliang
84
2004
Sharp inequalities for the diagramma and polygamma functions. Zbl 1048.33001
Alzer, Horst
37
2004
On Ramanujan’s inequalities for \(\exp(k)\). Zbl 1051.33001
Alzer, Horst
7
2004
Sharp inequalities for trigonometric sums in two variables. Zbl 1099.42001
Alzer, Horst; Koumandos, Stamatis
5
2004
On a trigonometric sum of Vinogradov. Zbl 1130.11326
Alzer, Horst; Koumandos, Stamatis
1
2004
Inequalities for means in two variables. Zbl 1020.26011
Alzer, Horst; Qiu, Song-liang
45
2003
On Ramanujan’s double inequality for the gamma function. Zbl 1027.33002
Alzer, Horst
27
2003
A subadditive property of the gamma function. Zbl 1129.33300
Alzer, Horst; Ruscheweyh, Stephan
16
2003
Functional inequalities for the error function. Zbl 1072.33001
Alzer, Horst
7
2003
Sharp inequalities for trigonometric sums. Zbl 1034.26007
Alzer, Horst; Koumandos, Stamatis
7
2003
A sharp bound for a sine polynomial. Zbl 1028.26011
Alzer, Horst; Koumandos, Stamatis
6
2003
Inequalities of Fejér-Jackson type. Zbl 1036.26012
Alzer, Horst; Koumandos, Stamatis
6
2003
Inequalities for the Beta function of \(n\) variables. Zbl 1032.33001
Alzer, Horst
5
2003
On Gautschi’s harmonic mean inequality for the gamma function. Zbl 1021.33002
Alzer, Horst
5
2003
Some beta-function inequalities. Zbl 1045.33003
Alzer, Horst
4
2003
Some classes of completely monotonic functions. Zbl 1021.26002
Alzer, Horst; Berg, Christian
29
2002
Inequalities for the constants of Landau and Lebesgue. Zbl 0998.26019
Alzer, Horst
17
2002
On a gamma function inequality of Gautschi. Zbl 1013.33001
Alzer, Horst
9
2002
The inequality of Milne and its converse. Zbl 1004.26011
Alzer, Horst; Kovačec, Alexander
3
2002
The arithmetic mean-geometric mean inequality for complex numbers. Zbl 1004.26016
Alzer, Horst; Ruscheweyh, Stephan
1
2002
Mean-value inequalities for the polygamma functions. Zbl 0968.33003
Alzer, Horst
21
2001
...and 104 more Documents
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Cited by 646 Authors

94 Chu, Yuming
86 Alzer, Horst
49 Chen, Chaoping
49 Yang, Zhenhang
43 Qi, Feng
30 Wang, Miaokun
29 Mortici, Cristinel
21 Qian, Weimao
20 Srivastava, Hari Mohan
19 Guo, Bai-Ni
18 Qiu, Songliang
16 Baricz, Árpád
16 Zhu, Ling
15 Dragomir, Sever Silvestru
15 Lu, Dawei
14 Choi, Junesang
14 Tian, Jingfeng
14 Zhang, Wen
13 Batir, Necdet
13 Koumandos, Stamatis
13 Kwong, Man Kam
13 Pečarić, Josip
13 Yin, Li
12 Gao, Peng
12 Zhao, Tiehong
11 Karp, Dmitriĭ Borisovich
11 Sándor, József
11 Sofo, Anthony
11 Zhang, Xiaohui
10 Long, Boyong
9 Berg, Christian
9 Li, Yongmin
9 Richards, Kendall C.
8 Guo, Senlin
8 Pedersen, Henrik Laurberg
8 Song, Yingqing
7 Bhayo, Barkat Ali
7 Jiang, Yueping
7 Neuman, Edward
7 Pogány, Tibor K.
7 Vuorinen, Matti Keijo Kustaa
7 Zheng, Shenzhou
6 Adell, José Antonio
6 Lin, Xiuli
6 Qiu, Yefang
6 Salem, Ahmed
5 Cerone, Pietro
5 Huang, Liguo
5 Ismail, Mourad El-Houssieny
5 Laforgia, Andrea
5 Ma, Congxu
5 Merkle, Milan J.
5 Paris, Richard Bruce
5 Song, Lixin
5 Xia, Weifeng
5 Zhang, Xiaoming
4 Chen, William Yong-Chuan
4 Elezović, Neven
4 Guan, Kaizhong
4 He, Zaiyin
4 Lin, Long
4 Mercer, A. McD.
4 Páles, Zsolt
4 Ponnusamy, Saminathan
4 Rooin, Jamal
3 Barnard, Roger W.
3 Bhandari, Piyush Kumar
3 Bissu, Sushil Kumar
3 Chen, Xiao-Diao
3 Cheung, Wingsum
3 Chu, Hong-Hu
3 Coffey, Mark William
3 Das, Sourav
3 Dixit, Atul
3 Giordano, Carla
3 Grinshpan, Arcadii Z.
3 Luo, Qiuming
3 Ma, Xiaoyan
3 Malešević, Branko J.
3 Masjed-Jamei, Mohammad
3 Matkowski, Janusz
3 Mehrez, Khaled
3 Moslehian, Mohammad Sal
3 Niu, Dawei
3 Prilepkina, Elena Gumarovna
3 Ruscheweyh, Stephan
3 Sababheh, Mohamad Suboh
3 Szasz, Robert Zoltan
3 Wang, Larry X. W.
3 Wang, Xiaoguang
3 Wang, Yongli
3 Wu, Limin
3 Yang, Gousheng
3 Zhao, Jiaolian
3 Zhao, Yuqiu
2 Alkan, Emre
2 Allouche, Jean-Paul Simon
2 Anderson, Glen Douglas
2 Cao, Xiaodong
2 Chu, Wenchang
...and 546 more Authors
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Cited in 183 Serials

96 Journal of Mathematical Analysis and Applications
68 Journal of Inequalities and Applications
45 Applied Mathematics and Computation
26 Proceedings of the American Mathematical Society
26 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
23 The Ramanujan Journal
21 Journal of Computational and Applied Mathematics
21 Abstract and Applied Analysis
20 Computers & Mathematics with Applications
18 Journal of Approximation Theory
17 Results in Mathematics
16 Integral Transforms and Special Functions
15 Journal of Number Theory
15 Applied Mathematics Letters
14 Mathematical Inequalities & Applications
12 Archiv der Mathematik
12 Journal of Mathematical Inequalities
10 Analysis and Applications (Singapore)
9 Rocky Mountain Journal of Mathematics
9 Aequationes Mathematicae
9 Journal of Applied Mathematics
8 Mathematical and Computer Modelling
8 Numerical Algorithms
8 Journal of Function Spaces
7 Analysis Mathematica
7 Linear Algebra and its Applications
7 Mediterranean Journal of Mathematics
6 Mathematics of Computation
6 International Journal of Mathematics and Mathematical Sciences
6 Expositiones Mathematicae
5 Bulletin of the Australian Mathematical Society
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Constructive Approximation
5 Journal of Mathematical Sciences (New York)
5 Problemy Analiza. Issues of Analysis
5 Cogent Mathematics
4 International Journal of Mathematical Education in Science and Technology
4 Periodica Mathematica Hungarica
4 Statistics & Probability Letters
4 Acta Mathematica Hungarica
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Indagationes Mathematicae. New Series
4 Applied Mathematics. Series B (English Edition)
4 Integers
3 Mathematica Slovaca
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Transactions of the American Mathematical Society
3 Advances in Applied Mathematics
3 Zeitschrift für Analysis und ihre Anwendungen
3 Communications in Statistics. Theory and Methods
3 Analysis (München)
3 Communications of the Korean Mathematical Society
3 The ANZIAM Journal
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Computational Methods and Function Theory
3 Advances in Difference Equations
3 Journal of Classical Analysis
2 American Mathematical Monthly
2 Discrete Applied Mathematics
2 Discrete Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Mathematical Physics
2 Mathematical Notes
2 Journal of Statistical Planning and Inference
2 Mathematische Nachrichten
2 Mathematika
2 Numerical Functional Analysis and Optimization
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Theoretical Computer Science
2 European Journal of Combinatorics
2 Acta Applicandae Mathematicae
2 Forum Mathematicum
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Georgian Mathematical Journal
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Bernoulli
2 Fractional Calculus & Applied Analysis
2 International Journal of Number Theory
2 Complex Variables and Elliptic Equations
2 Optimization Letters
2 Banach Journal of Mathematical Analysis
2 Asian-European Journal of Mathematics
2 Acta Universitatis Sapientiae. Mathematica
2 Arabian Journal of Mathematics
2 Journal of Mathematics
2 Mathematics
2 International Journal of Applied and Computational Mathematics
2 Open Mathematics
1 Artificial Intelligence
1 International Journal of Theoretical Physics
1 Journal d’Analyse Mathématique
1 Lithuanian Mathematical Journal
1 Linear and Multilinear Algebra
1 Nonlinearity
1 Arkiv för Matematik
1 Journal of Geometry and Physics
1 Acta Arithmetica
1 Acta Mathematica Vietnamica
...and 83 more Serials
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Cited in 44 Fields

486 Real functions (26-XX)
445 Special functions (33-XX)
105 Number theory (11-XX)
88 Approximations and expansions (41-XX)
38 Functions of a complex variable (30-XX)
37 Harmonic analysis on Euclidean spaces (42-XX)
36 Difference and functional equations (39-XX)
34 Probability theory and stochastic processes (60-XX)
33 Combinatorics (05-XX)
32 Numerical analysis (65-XX)
30 Sequences, series, summability (40-XX)
23 Statistics (62-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Integral transforms, operational calculus (44-XX)
16 Operator theory (47-XX)
7 Ordinary differential equations (34-XX)
7 Convex and discrete geometry (52-XX)
7 Information and communication theory, circuits (94-XX)
6 Functional analysis (46-XX)
6 Computer science (68-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Potential theory (31-XX)
4 Partial differential equations (35-XX)
4 Geometry (51-XX)
4 Operations research, mathematical programming (90-XX)
4 Systems theory; control (93-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Differential geometry (53-XX)
3 Quantum theory (81-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 General topology (54-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Measure and integration (28-XX)
1 Integral equations (45-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

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