Edit Profile Alzer, Horst Compute Distance To: Compute Author ID: alzer.horst Published as: Alzer, H.; Alzer, Horst External Links: MGP Documents Indexed: 324 Publications since 1983, including 1 Book all top 5 Co-Authors 205 single-authored 31 Kwong, Man Kam 18 Koumandos, Stamatis 6 Ruscheweyh, Stephan 5 Brenner, Joël Lee 5 Richards, Kendall C. 4 Adell, José Antonio 4 Kovačec, Alexander 4 Prodinger, Helmut 3 Berg, Christian 3 Pečarić, Josip 3 Ruehr, Otto G. 3 Salinas, Luis Carrasco 2 da Fonseca, Carlos Martins 2 Fuglede, Bent 2 Qiu, Songliang 2 Sándor, József 2 Shi, Xiquan 2 Yin, Qinghe 1 Ando, Tsuyoshi 1 Baricz, Árpád 1 Batir, Necdet 1 Chapman, Robin J. 1 Chen, Chaoping 1 Choi, Junesang 1 Chu, Wenchang 1 Felder, Giovanni 1 Gerhold, Stefan 1 Grinshpan, Arcadii Z. 1 Guessab, Allal 1 Jagers, Bert 1 Jameson, Graham J. O. 1 Karayannakis, Dimitri 1 Kauers, Manuel 1 Kouba, Omran 1 Lamprecht, Martin 1 Lemmert, Roland 1 Liu, Xiuping 1 Luca, Florian 1 Lupaş, Alexandru 1 Matkowski, Janusz 1 Milovanović, Gradimir V. 1 Nagy, Gábor V. 1 Nakamura, Yoshihiro 1 Pan, Hao 1 Paris, Richard Bruce 1 Sofo, Anthony 1 Sondow, Jonathan D. 1 Srivastava, Hari Mohan 1 Wells, James H. 1 Yakubovich, Semyon B. all top 5 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 all top 5 Fields 252 Real functions (26-XX) 97 Special functions (33-XX) 43 Number theory (11-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 25 Difference and functional equations (39-XX) 14 Combinatorics (05-XX) 12 Functions of a complex variable (30-XX) 8 Probability theory and stochastic processes (60-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 2 Sequences, series, summability (40-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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 0854.33001Alzer, Horst 176 1997 Monotonicity theorems and inequalities for the complete elliptic integrals. Zbl 1059.33029Alzer, Horst; Qiu, Songliang 84 2004 Inequalities for means in two variables. Zbl 1020.26011Alzer, Horst; Qiu, Song-liang 45 2003 Sharp inequalities for the diagramma and polygamma functions. Zbl 1048.33001Alzer, Horst 37 2004 Ungleichungen für Mittelwerte. (Inequalities for means). Zbl 0585.26014Alzer, Horst 37 1986 Some classes of completely monotonic functions. II. Zbl 1110.26015Alzer, Horst; Berg, Christian 34 2006 Series representations for some mathematical constants. Zbl 1093.33010Alzer, Horst; Karayannakis, Dimitri; Srivastava, H. M. 29 2006 Some classes of completely monotonic functions. Zbl 1021.26002Alzer, Horst; Berg, Christian 29 2002 Some gamma function inequalities. Zbl 0802.33001Alzer, Horst 29 1993 On Ramanujan’s double inequality for the gamma function. Zbl 1027.33002Alzer, Horst 27 2003 Monotonicity properties of the gamma function. Zbl 1135.33300Alzer, Horst; Batir, Necdet 25 2007 Inequalities for the gamma and polygamma functions. Zbl 0945.33003Alzer, H. 24 1998 Mean-value inequalities for the polygamma functions. Zbl 0968.33003Alzer, Horst 21 2001 Inequalities for the gamma function. Zbl 0966.33001Alzer, Horst 20 2000 Inequalities for the gamma and \(q\)-gamma functions. Zbl 1108.33001Alzer, Horst; Grinshpan, Arcadii Z. 19 2007 Sharp upper and lower bounds for the gamma function. Zbl 1188.33002Alzer, Horst 18 2009 A power mean inequality for the gamma function. Zbl 0964.33002Alzer, Horst 18 2000 On some inequalities for the incomplete gamma function. Zbl 0865.33002Alzer, Horst 18 1997 The inequality of Ky Fan and related results. Zbl 0834.26013Alzer, Horst 18 1995 Inequalities for the constants of Landau and Lebesgue. Zbl 0998.26019Alzer, Horst 17 2002 Sharp inequalities for the complete elliptic integral of the first kind. Zbl 0906.33012Alzer, Horst 17 1998 A subadditive property of the gamma function. Zbl 1129.33300Alzer, Horst; Ruscheweyh, Stephan 16 2003 Inequalities for the volume of the unit ball in \(\mathbb{R}^n\). Zbl 0972.26015Alzer, Horst 15 2000 On an inequality of H. Minc and L. Sathre. Zbl 0792.26008Alzer, Horst 15 1993 A Turán-type inequality for the gamma function. Zbl 1198.33001Alzer, Horst; Felder, Giovanni 14 2009 Inequalities for the ratio of complete elliptic integrals. Zbl 1360.33015Alzer, Horst; Richards, Kendall 13 2017 Inequalities for the volume of the unit ball in \(\mathbb{R}^n\). II. Zbl 1181.26033Alzer, Horst 13 2008 Sharp bounds for the ratio of \(q\)-gamma functions. Zbl 0968.33004Alzer, Horst 13 2001 Young-type inequalities and their matrix analogues. Zbl 1316.15023Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander 12 2015 Inequalities for the polygamma functions. Zbl 0907.33003Alzer, Horst; Wells, Jim 12 1998 Sharp bounds for the Bernoulli numbers. Zbl 0960.11016Alzer, Horst 11 2000 An inequality for the exponential function. Zbl 0723.26007Alzer, Horst 11 1990 Sub- and superadditive properties of Euler’s Gamma function. Zbl 1126.33001Alzer, Horst 10 2007 On an inequality of Ky Fan. Zbl 0668.26012Alzer, Horst 10 1989 A new refinement of Young’s inequality. Zbl 1126.26015Alzer, Horst; Koumandos, Stamatis 9 2007 On Turán’s inequality for Legendre polynomials. Zbl 1155.26012Alzer, Horst; Gerhold, Stefan; Kauers, Manuel; Lupaş, Alexandru 9 2007 On a gamma function inequality of Gautschi. Zbl 1013.33001Alzer, Horst 9 2002 On Mathieu’s inequality. Zbl 0904.26010Alzer, Horst; Brenner, J. L.; Ruehr, O. G. 9 1998 A refinement of the Cauchy-Schwarz inequality. Zbl 0763.26012Alzer, Horst 9 1992 On the modulus of the Grötzsch ring. Zbl 1327.30021Alzer, Horst; Richards, Kendall 8 2015 Functional inequalities for the incomplete gamma function. Zbl 1231.33003Alzer, Horst; Baricz, Árpád 8 2012 Error function inequalities. Zbl 1211.33002Alzer, Horst 8 2010 Sub- and superadditive properties of Fejér’s sine polynomial. Zbl 1086.42001Alzer, Horst; Koumandos, Stamatis 8 2006 Sharp inequalities for the beta function. Zbl 0983.33001Alzer, Horst 8 2001 A new refinement of the arithmetic mean – geometric mean inequality. Zbl 0897.26004Alzer, Horst 8 1997 Ungleichungen für \((e/a)^ a(b/e)^ b\). (Inequalities for \((e/a)^ a(b/e)^ b)\). Zbl 0596.26014Alzer, H. 8 1985 Functional inequalities for the error function. II. Zbl 1208.33003Alzer, Horst 7 2009 Series representations for \(\gamma\) and other mathematical constants. Zbl 1164.40001Alzer, Horst; Koumandos, Stamatis 7 2008 On the partial sums of a Fourier series. Zbl 1152.42300Alzer, Horst; Koumandos, Stamatis 7 2008 Sharp inequalities for the harmonic numbers. Zbl 1105.11003Alzer, Horst 7 2006 Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\). Zbl 1091.33001Alzer, Horst 7 2006 Companions of the inequalities of Fejér-Jackson and Young. Zbl 1082.26012Alzer, Horst; Koumandos, Stamatis 7 2005 On Ramanujan’s inequalities for \(\exp(k)\). Zbl 1051.33001Alzer, Horst 7 2004 Functional inequalities for the error function. Zbl 1072.33001Alzer, Horst 7 2003 Sharp inequalities for trigonometric sums. Zbl 1034.26007Alzer, Horst; Koumandos, Stamatis 7 2003 Best possible estimates for special means. Zbl 0815.26014Alzer, Horst 7 1993 On the concavity of Dirichlet’s eta function and related functional inequalities. Zbl 1311.11087Alzer, Horst; Kwong, Man Kam 6 2015 Proof of the Chen-Rubin conjecture. Zbl 1077.62005Alzer, Horst 6 2005 A sharp bound for a sine polynomial. Zbl 1028.26011Alzer, Horst; Koumandos, Stamatis 6 2003 Inequalities of Fejér-Jackson type. Zbl 1036.26012Alzer, Horst; Koumandos, Stamatis 6 2003 A submultiplicative property of the psi function. Zbl 0943.33001Alzer, Horst; Ruehr, O. G. 6 1999 On the Cauchy-Schwarz inequality. Zbl 0933.26010Alzer, Horst 6 1999 A short proof of Ky Fan’s inequality. Zbl 0759.26014Alzer, Horst 6 1991 Integral inequalities for concave functions with applications to special functions. Zbl 0736.26008Brenner, J. L.; Alzer, Horst 6 1991 Inequalities for arithmetic, geometric and harmonic means. Zbl 0707.26014Alzer, Horst 6 1990 Two inequalities for means. Zbl 0615.26015Alzer, Horst 6 1987 A harmonic mean inequality for the digamma function and related results. Zbl 1366.33003Alzer, Horst; Jameson, Graham 5 2017 Inequalities for two sine polynomials. Zbl 1091.26009Alzer, Horst; Koumandos, Stamatis 5 2006 Sharp inequalities for trigonometric sums in two variables. Zbl 1099.42001Alzer, Horst; Koumandos, Stamatis 5 2004 Inequalities for the Beta function of \(n\) variables. Zbl 1032.33001Alzer, Horst 5 2003 On Gautschi’s harmonic mean inequality for the gamma function. Zbl 1021.33002Alzer, Horst 5 2003 A harmonic mean inequality for the gamma function. Zbl 0888.33001Alzer, Horst 5 1997 On some inequalities involving \((n!)^{1/n}\). Zbl 0826.26005Alzer, Horst 5 1994 Converses of two inequalities of Ky Fan, O. Taussky, and J. Todd. Zbl 0747.26014Alzer, Horst 5 1991 On Jordan’s inequality. Zbl 1413.26031Alzer, Horst; Kwong, Man Kam 4 2018 A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities. Zbl 1363.33011Alzer, Horst; Richards, Kendall 4 2015 Series and product representations for some mathematical constants. Zbl 1197.11013Alzer, Horst; Koumandos, Stamatis 4 2009 Sharp bounds for trigonometric polynomials in two variables. Zbl 1180.42002Alzer, Horst; Shi, Xiquan 4 2009 Gamma function inequalities. Zbl 1167.33001Alzer, Horst 4 2008 Inequalities for Euler’s gamma function. Zbl 1163.33001Alzer, Horst 4 2008 A functional inequality for the polygamma functions. Zbl 1095.39022Alzer, Horst 4 2005 Remark on a double-inequality for the Riemann zeta function. Zbl 1114.11070Alzer, Horst 4 2005 Normalized binomial mid-coefficients and power means. Zbl 1093.11008Alzer, Horst; Fuglede, Bent 4 2005 Some beta-function inequalities. Zbl 1045.33003Alzer, Horst 4 2003 Inequalities for the Hurwitz zeta function. Zbl 0997.11071Alzer, Horst 4 2000 Remark on the stability of the gamma functional equation. Zbl 0929.39014Alzer, Horst 4 1999 Refinement of an inequality of G. Bennett. Zbl 0835.26011Alzer, Horst 4 1994 On some inequalities involving \((n!)^{1/n}\). II. Zbl 0835.26013Alzer, H. 4 1994 A note on Hadamard’s inequalities. Zbl 0707.26012Alzer, Horst 4 1989 Über eine einparametrige Familie von Mittelwerten. II. (On a one- parametric family of means. II). Zbl 0688.26009Alzer, Horst 4 1989 Verschärfung einer Ungleichung von Ky Fan. Zbl 0655.26011Alzer, Horst 4 1988 On Young’s inequality. Zbl 1400.26042Alzer, Horst; Kwong, Man Kam 3 2019 On Ruehr’s identities. Zbl 06940847Alzer, Horst; Prodinger, Helmut 3 2018 Sharp upper and lower bounds for a sine polynomial. Zbl 1410.26023Alzer, Horst; Kwong, Man Kam 3 2016 A superadditive property of Hadamard’s gamma function. Zbl 1180.33001Alzer, Horst 3 2009 A convexity property of the median of the gamma distribution. Zbl 1096.60010Alzer, Horst 3 2006 Monotonicity properties of the Hurwitz zeta function. Zbl 1117.11047Alzer, Horst 3 2005 Sharp inequalities for the Hurwitz zeta function. Zbl 1130.11048Alzer, Horst 3 2005 On a conjecture of Clark and Ismail. Zbl 1071.33004Alzer, Horst; Berg, Christian; Koumandos, Stamatis 3 2005 The inequality of Milne and its converse. Zbl 1004.26011Alzer, Horst; Kovačec, Alexander 3 2002 Remarks on a convexity theorem of Raşa. Zbl 1435.26005Alzer, Horst 1 2020 On two trigonometric inequalities of Askey and Steinig. Zbl 1431.26011Alzer, Horst; Kwong, Man Kam 1 2020 Four parametric linear Euler sums. Zbl 1437.11123Alzer, Horst; Choi, Junesang 1 2020 On Young’s inequality. Zbl 1400.26042Alzer, Horst; Kwong, Man Kam 3 2019 On Jordan’s inequality. Zbl 1413.26031Alzer, Horst; Kwong, Man Kam 4 2018 On Ruehr’s identities. Zbl 06940847Alzer, Horst; Prodinger, Helmut 3 2018 On a trigonometric inequality of Askey and Steinig. Zbl 1391.42003Alzer, Horst; Kwong, Man Kam 2 2018 Complete monotonicity of a function related to the binomial probability. Zbl 1377.33001Alzer, Horst 2 2018 Identities involving Bernoulli and Euler polynomials. Zbl 1390.11047Alzer, Horst; Yakubovich, Semyon 1 2018 Inequalities for the ratio of complete elliptic integrals. Zbl 1360.33015Alzer, Horst; Richards, Kendall 13 2017 A harmonic mean inequality for the digamma function and related results. Zbl 1366.33003Alzer, Horst; Jameson, Graham 5 2017 Sharp upper and lower bounds for a sine polynomial. Zbl 1410.26023Alzer, Horst; Kwong, Man Kam 3 2016 A refinement of Vietoris’ inequality for cosine polynomials. Zbl 1345.26022Alzer, Horst; Kwong, Man Kam 2 2016 Series representations for special functions and mathematical constants. Zbl 1416.33001Alzer, Horst; Richards, Kendall C. 2 2016 Notes on a combinatorial identity. Zbl 1360.05016Alzer, Horst; Prodinger, Helmut 1 2016 A parametrized series representation for Apery’s constant \(\zeta(3)\). Zbl 1342.11072Alzer, Horst; Sondow, Jonathan 1 2016 Young-type inequalities and their matrix analogues. Zbl 1316.15023Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander 12 2015 On the modulus of the Grötzsch ring. Zbl 1327.30021Alzer, Horst; Richards, Kendall 8 2015 On the concavity of Dirichlet’s eta function and related functional inequalities. Zbl 1311.11087Alzer, Horst; Kwong, Man Kam 6 2015 A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities. Zbl 1363.33011Alzer, Horst; Richards, Kendall 4 2015 The Hurwitz zeta function: monotonicity, convexity and inequalities. Zbl 1336.11063Alzer, Horst 2 2015 On a combinatorial sum. Zbl 1315.05137Alzer, Horst 1 2015 Rogosinski-Szegő type inequalities for trigonometric sums. Zbl 1316.26018Alzer, Horst; Kwong, Man Kam 1 2015 Inequalities involving gamma and digamma functions. Zbl 1374.33002Alzer, Horst; Chen, Chao-Ping 2 2014 Inequalities for the beta function. Zbl 1299.33001Alzer, Horst 2 2014 Two trigonometric identities. Zbl 1307.26001Alzer, Horst; Chu, Wenchang 1 2014 Extension of a trigonometric inequality of Turán. Zbl 1324.26022Alzer, Horst; Kwong, Man Kam 1 2014 A subadditive property of the error function. Zbl 1320.33005Alzer, Horst; Kwong, Man Kam 1 2014 On Boole’s formula for factorials. Zbl 1296.05013Alzer, Horst; Chapman, Robin 1 2014 Identities for Bernoulli polynomials and Bernoulli numbers. Zbl 1321.11024Alzer, Horst; Kwong, Man Kam 1 2014 A convexity property and a new characterization of Euler’s gamma function. Zbl 1273.26014Alzer, Horst; Matkowski, Janusz 2 2013 Inequalities for alternating trigonometric sums. Zbl 1272.26008Alzer, Horst; Liu, Xiuping; Shi, Xiquan 1 2013 Functional inequalities for the incomplete gamma function. Zbl 1231.33003Alzer, Horst; Baricz, Árpád 8 2012 On trigonometric sums in two variables. Zbl 1296.26050Alzer, Horst; Yin, Qinghe 1 2012 On a trigonometric inequality of Turán. Zbl 1253.42001Alzer, Horst; Fuglede, Bent 1 2012 Monotonicity properties of the Riemann zeta function. Zbl 1329.11086Alzer, Horst 1 2012 Sharp estimates for various trigonometric sums. Zbl 1258.26012Alzer, Horst; Koumandos, Stamatis 1 2012 Inequalities for the harmonic numbers. Zbl 1229.26030Alzer, Horst 2 2011 On a binomial coefficient and a product of prime numbers. Zbl 1265.05023Alzer, Horst; Sándor, József 1 2011 A monotonicity property of Euler’s gamma function. Zbl 1240.26018Adell, J. A.; Alzer, H. 1 2011 Error function inequalities. Zbl 1211.33002Alzer, Horst 8 2010 A refinement of Vietoris’ inequality for sine polynomials. Zbl 1202.42005Alzer, Horst; Koumandos, Stamatis; Lamprecht, Martin 2 2010 Integral inequalities for self-reciprocal polynomials. Zbl 1202.30005Alzer, Horst 2 2010 Sharp upper and lower bounds for the gamma function. Zbl 1188.33002Alzer, Horst 18 2009 A Turán-type inequality for the gamma function. Zbl 1198.33001Alzer, Horst; Felder, Giovanni 14 2009 Functional inequalities for the error function. II. Zbl 1208.33003Alzer, Horst 7 2009 Series and product representations for some mathematical constants. Zbl 1197.11013Alzer, Horst; Koumandos, Stamatis 4 2009 Sharp bounds for trigonometric polynomials in two variables. Zbl 1180.42002Alzer, Horst; Shi, Xiquan 4 2009 A superadditive property of Hadamard’s gamma function. Zbl 1180.33001Alzer, Horst 3 2009 Remarks on a sine polynomial. Zbl 1180.42001Alzer, Horst; Koumandos, Stamatis 2 2009 Inequalities for Riemann’s zeta function. Zbl 1201.11086Alzer, Horst 2 2009 Inequalities for the median of the gamma distribution. Zbl 1185.26034Adell, José A.; Alzer, Horst 1 2009 Inequalities for the volume of the unit ball in \(\mathbb{R}^n\). II. Zbl 1181.26033Alzer, Horst 13 2008 Series representations for \(\gamma\) and other mathematical constants. Zbl 1164.40001Alzer, Horst; Koumandos, Stamatis 7 2008 On the partial sums of a Fourier series. Zbl 1152.42300Alzer, Horst; Koumandos, Stamatis 7 2008 Gamma function inequalities. Zbl 1167.33001Alzer, Horst 4 2008 Inequalities for Euler’s gamma function. Zbl 1163.33001Alzer, Horst 4 2008 Monotonicity properties of the gamma function. Zbl 1135.33300Alzer, Horst; Batir, Necdet 25 2007 Inequalities for the gamma and \(q\)-gamma functions. Zbl 1108.33001Alzer, Horst; Grinshpan, Arcadii Z. 19 2007 Sub- and superadditive properties of Euler’s Gamma function. Zbl 1126.33001Alzer, Horst 10 2007 A new refinement of Young’s inequality. Zbl 1126.26015Alzer, Horst; Koumandos, Stamatis 9 2007 On Turán’s inequality for Legendre polynomials. Zbl 1155.26012Alzer, Horst; Gerhold, Stefan; Kauers, Manuel; Lupaş, Alexandru 9 2007 Some classes of completely monotonic functions. II. Zbl 1110.26015Alzer, Horst; Berg, Christian 34 2006 Series representations for some mathematical constants. Zbl 1093.33010Alzer, Horst; Karayannakis, Dimitri; Srivastava, H. M. 29 2006 Sub- and superadditive properties of Fejér’s sine polynomial. Zbl 1086.42001Alzer, Horst; Koumandos, Stamatis 8 2006 Sharp inequalities for the harmonic numbers. Zbl 1105.11003Alzer, Horst 7 2006 Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\). Zbl 1091.33001Alzer, Horst 7 2006 Inequalities for two sine polynomials. Zbl 1091.26009Alzer, Horst; Koumandos, Stamatis 5 2006 A convexity property of the median of the gamma distribution. Zbl 1096.60010Alzer, Horst 3 2006 Some monotonic trigonometric sums. Zbl 1132.42003Alzer, Horst; Koumandos, Stamatis 2 2006 The inequality of Milne and its converse. II. Zbl 1092.26010Alzer, Horst; Kovačec, Alexander 1 2006 Companions of the inequalities of Fejér-Jackson and Young. Zbl 1082.26012Alzer, Horst; Koumandos, Stamatis 7 2005 Proof of the Chen-Rubin conjecture. Zbl 1077.62005Alzer, Horst 6 2005 A functional inequality for the polygamma functions. Zbl 1095.39022Alzer, Horst 4 2005 Remark on a double-inequality for the Riemann zeta function. Zbl 1114.11070Alzer, Horst 4 2005 Normalized binomial mid-coefficients and power means. Zbl 1093.11008Alzer, Horst; Fuglede, Bent 4 2005 Monotonicity properties of the Hurwitz zeta function. Zbl 1117.11047Alzer, Horst 3 2005 Sharp inequalities for the Hurwitz zeta function. Zbl 1130.11048Alzer, Horst 3 2005 On a conjecture of Clark and Ismail. Zbl 1071.33004Alzer, Horst; Berg, Christian; Koumandos, Stamatis 3 2005 Monotonicity theorems and inequalities for the complete elliptic integrals. Zbl 1059.33029Alzer, Horst; Qiu, Songliang 84 2004 Sharp inequalities for the diagramma and polygamma functions. Zbl 1048.33001Alzer, Horst 37 2004 On Ramanujan’s inequalities for \(\exp(k)\). Zbl 1051.33001Alzer, Horst 7 2004 Sharp inequalities for trigonometric sums in two variables. Zbl 1099.42001Alzer, Horst; Koumandos, Stamatis 5 2004 On a trigonometric sum of Vinogradov. Zbl 1130.11326Alzer, Horst; Koumandos, Stamatis 1 2004 Inequalities for means in two variables. Zbl 1020.26011Alzer, Horst; Qiu, Song-liang 45 2003 On Ramanujan’s double inequality for the gamma function. Zbl 1027.33002Alzer, Horst 27 2003 A subadditive property of the gamma function. Zbl 1129.33300Alzer, Horst; Ruscheweyh, Stephan 16 2003 Functional inequalities for the error function. Zbl 1072.33001Alzer, Horst 7 2003 Sharp inequalities for trigonometric sums. Zbl 1034.26007Alzer, Horst; Koumandos, Stamatis 7 2003 A sharp bound for a sine polynomial. Zbl 1028.26011Alzer, Horst; Koumandos, Stamatis 6 2003 Inequalities of Fejér-Jackson type. Zbl 1036.26012Alzer, Horst; Koumandos, Stamatis 6 2003 Inequalities for the Beta function of \(n\) variables. Zbl 1032.33001Alzer, Horst 5 2003 On Gautschi’s harmonic mean inequality for the gamma function. Zbl 1021.33002Alzer, Horst 5 2003 Some beta-function inequalities. Zbl 1045.33003Alzer, Horst 4 2003 Some classes of completely monotonic functions. Zbl 1021.26002Alzer, Horst; Berg, Christian 29 2002 Inequalities for the constants of Landau and Lebesgue. Zbl 0998.26019Alzer, Horst 17 2002 On a gamma function inequality of Gautschi. Zbl 1013.33001Alzer, Horst 9 2002 The inequality of Milne and its converse. Zbl 1004.26011Alzer, Horst; Kovačec, Alexander 3 2002 The arithmetic mean-geometric mean inequality for complex numbers. Zbl 1004.26016Alzer, Horst; Ruscheweyh, Stephan 1 2002 Mean-value inequalities for the polygamma functions. Zbl 0968.33003Alzer, Horst 21 2001 ...and 104 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year