Edit Profile (opens in new tab) Alzer, Horst Compute Distance To: Compute Author ID: alzer.horst Published as: Alzer, Horst; Alzer, H. External Links: MGP Documents Indexed: 345 Publications since 1983, including 1 Book Co-Authors: 52 Co-Authors with 137 Joint Publications 2,569 Co-Co-Authors all top 5 Co-Authors 207 single-authored 45 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 Kouba, Omran 3 Pečarić, Josip 3 Ruehr, Otto G. 3 Salinas, Luis Carrasco 3 Sándor, József 2 Choi, Junesang 2 da Fonseca, Carlos Martins 2 Fuglede, Bent 2 Qiu, Songliang 2 Shi, Xiquan 2 Yin, Qinghe 1 Agoh, Takashi 1 Ando, Tsuyoshi 1 Baricz, Árpád 1 Batir, Necdet 1 Chapman, Robin J. 1 Chen, Chaoping 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 Lamprecht, Martin 1 Lemmert, Roland 1 Liu, Xiuping 1 Luca, Florian 1 Lupaş, Alexandru 1 Matkowski, Janusz 1 Milovanović, Gradimir V. 1 Munarini, Emanuele 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 Periodica Mathematica Hungarica 8 Rocky Mountain Journal of Mathematics 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 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 7 Journal of Approximation Theory 7 Results in Mathematics 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Analysis Mathematica 6 Elemente der Mathematik 5 Publicationes Mathematicae Debrecen 5 Studia Scientiarum Mathematicarum Hungarica 5 The Ramanujan Journal 4 Colloquium Mathematicum 4 Journal of Number Theory 4 Real Analysis Exchange 4 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 4 Acta Mathematica Hungarica 4 Expositiones Mathematicae 4 Indagationes Mathematicae. New Series 4 Integers 4 Analysis and Applications (Singapore) 4 Jaen Journal on Approximation 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 Czechoslovak Mathematical Journal 3 Mathematische Nachrichten 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Rendiconti del Seminario Matematico della Università di Padova 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 Integral Transforms and Special Functions 3 Analysis (München) 3 Mediterranean Journal of Mathematics 3 Applicable Analysis and Discrete Mathematics 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 Glasgow Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Monatshefte für Mathematik 2 Portugaliae Mathematica 2 Quaestiones Mathematicae 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 Journal of Inequalities and Applications 2 Journal of Integer Sequences 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 Iași. Secția I 1 Glasnik Matematički. Serija III ...and 19 more Serials all top 5 Fields 269 Real functions (26-XX) 110 Special functions (33-XX) 51 Number theory (11-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 26 Difference and functional equations (39-XX) 17 Combinatorics (05-XX) 13 Functions of a complex variable (30-XX) 8 Approximations and expansions (41-XX) 7 Probability theory and stochastic processes (60-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Information and communication theory, circuits (94-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 218 Publications have been cited 1,683 times in 997 Documents Cited by ▼ Year ▼ On some inequalities for the gamma and psi functions. Zbl 0854.33001Alzer, Horst 193 1997 Monotonicity theorems and inequalities for the complete elliptic integrals. Zbl 1059.33029Alzer, Horst; Qiu, Songliang 107 2004 Inequalities for means in two variables. Zbl 1020.26011Alzer, Horst; Qiu, Song-liang 47 2003 Sharp inequalities for the diagramma and polygamma functions. Zbl 1048.33001Alzer, Horst 45 2004 Ungleichungen für Mittelwerte. (Inequalities for means). Zbl 0585.26014Alzer, Horst 39 1986 Some classes of completely monotonic functions. II. Zbl 1110.26015Alzer, Horst; Berg, Christian 38 2006 Series representations for some mathematical constants. Zbl 1093.33010Alzer, Horst; Karayannakis, Dimitri; Srivastava, H. M. 36 2006 Some classes of completely monotonic functions. Zbl 1021.26002Alzer, Horst; Berg, Christian 32 2002 Some gamma function inequalities. Zbl 0802.33001Alzer, Horst 29 1993 Monotonicity properties of the gamma function. Zbl 1135.33300Alzer, Horst; Batir, Necdet 28 2007 Inequalities for the gamma and polygamma functions. Zbl 0945.33003Alzer, H. 27 1998 On Ramanujan’s double inequality for the gamma function. Zbl 1027.33002Alzer, Horst 27 2003 Mean-value inequalities for the polygamma functions. Zbl 0968.33003Alzer, Horst 25 2001 Sharp inequalities for the complete elliptic integral of the first kind. Zbl 0906.33012Alzer, Horst 25 1998 Sharp bounds for the Bernoulli numbers. Zbl 0960.11016Alzer, Horst 22 2000 Inequalities for the gamma and \(q\)-gamma functions. Zbl 1108.33001Alzer, Horst; Grinshpan, Arcadii Z. 22 2007 The inequality of Ky Fan and related results. Zbl 0834.26013Alzer, Horst 21 1995 Inequalities for the gamma function. Zbl 0966.33001Alzer, Horst 21 2000 On some inequalities for the incomplete gamma function. Zbl 0865.33002Alzer, Horst 20 1997 A power mean inequality for the gamma function. Zbl 0964.33002Alzer, Horst 20 2000 Inequalities for the ratio of complete elliptic integrals. Zbl 1360.33015Alzer, Horst; Richards, Kendall 20 2017 Sharp upper and lower bounds for the gamma function. Zbl 1188.33002Alzer, Horst 20 2009 Inequalities for the volume of the unit ball in \(\mathbb{R}^n\). Zbl 0972.26015Alzer, Horst 19 2000 Inequalities for the constants of Landau and Lebesgue. Zbl 0998.26019Alzer, Horst 18 2002 Inequalities for the polygamma functions. Zbl 0907.33003Alzer, Horst; Wells, Jim 18 1998 A subadditive property of the gamma function. Zbl 1129.33300Alzer, Horst; Ruscheweyh, Stephan 17 2003 Inequalities for the volume of the unit ball in \(\mathbb{R}^n\). II. Zbl 1181.26033Alzer, Horst 16 2008 A Turán-type inequality for the gamma function. Zbl 1198.33001Alzer, Horst; Felder, Giovanni 16 2009 Sharp bounds for the ratio of \(q\)-gamma functions. Zbl 0968.33004Alzer, Horst 15 2001 On an inequality of H. Minc and L. Sathre. Zbl 0792.26008Alzer, Horst 15 1993 Sub- and superadditive properties of Euler’s Gamma function. Zbl 1126.33001Alzer, Horst 14 2007 Young-type inequalities and their matrix analogues. Zbl 1316.15023Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander 14 2015 Sharp inequalities for the beta function. Zbl 0983.33001Alzer, Horst 12 2001 On Mathieu’s inequality. Zbl 0904.26010Alzer, Horst; Brenner, J. L.; Ruehr, O. G. 11 1998 An inequality for the exponential function. Zbl 0723.26007Alzer, Horst 11 1990 On Turán’s inequality for Legendre polynomials. Zbl 1155.26012Alzer, Horst; Gerhold, Stefan; Kauers, Manuel; Lupaş, Alexandru 11 2007 Error function inequalities. Zbl 1211.33002Alzer, Horst 11 2010 Complete monotonicity of a function related to the binomial probability. Zbl 1377.33001Alzer, Horst 10 2018 On an inequality of Ky Fan. Zbl 0668.26012Alzer, Horst 10 1989 A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities. Zbl 1363.33011Alzer, Horst; Richards, Kendall 10 2015 On a gamma function inequality of Gautschi. Zbl 1013.33001Alzer, Horst 10 2002 Sharp inequalities for the harmonic numbers. Zbl 1105.11003Alzer, Horst 10 2006 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 9 2015 A new refinement of the arithmetic mean – geometric mean inequality. Zbl 0897.26004Alzer, Horst 9 1997 Sub- and superadditive properties of Fejér’s sine polynomial. Zbl 1086.42001Alzer, Horst; Koumandos, Stamatis 9 2006 Functional inequalities for the incomplete gamma function. Zbl 1231.33003Alzer, Horst; Baricz, Árpád 9 2012 A new refinement of Young’s inequality. Zbl 1126.26015Alzer, Horst; Koumandos, Stamatis 9 2007 On the concavity of Dirichlet’s eta function and related functional inequalities. Zbl 1311.11087Alzer, Horst; Kwong, Man Kam 9 2015 On Ramanujan’s inequalities for \(\exp(k)\). Zbl 1051.33001Alzer, Horst 9 2004 Series representations for \(\gamma\) and other mathematical constants. Zbl 1164.40001Alzer, Horst; Koumandos, Stamatis 9 2008 Ungleichungen für \((e/a)^ a(b/e)^ b\). (Inequalities for \((e/a)^ a(b/e)^ b)\). Zbl 0596.26014Alzer, H. 8 1985 Two inequalities for means. Zbl 0615.26015Alzer, Horst 8 1987 Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\). Zbl 1091.33001Alzer, Horst 8 2006 Functional inequalities for the error function. II. Zbl 1208.33003Alzer, Horst 8 2009 Sharp inequalities for trigonometric sums. Zbl 1034.26007Alzer, Horst; Koumandos, Stamatis 8 2003 Inequalities for the Beta function of \(n\) variables. Zbl 1032.33001Alzer, Horst 8 2003 On Jordan’s inequality. Zbl 1413.26031Alzer, Horst; Kwong, Man Kam 7 2018 Best possible estimates for special means. (Bestmögliche Abschätzungen für spezielle Mittelwerte.) Zbl 0815.26014Alzer, Horst 7 1993 On the partial sums of a Fourier series. Zbl 1152.42300Alzer, Horst; Koumandos, Stamatis 7 2008 A harmonic mean inequality for the digamma function and related results. Zbl 1366.33003Alzer, Horst; Jameson, Graham 7 2017 Functional inequalities for the error function. Zbl 1072.33001Alzer, Horst 7 2003 Companions of the inequalities of Fejér-Jackson and Young. Zbl 1082.26012Alzer, Horst; Koumandos, Stamatis 7 2005 Inequalities of Fejér-Jackson type. Zbl 1036.26012Alzer, Horst; Koumandos, Stamatis 7 2003 Integral inequalities for concave functions with applications to special functions. Zbl 0736.26008Brenner, J. L.; Alzer, Horst 6 1991 A short proof of Ky Fan’s inequality. Zbl 0759.26014Alzer, Horst 6 1991 A harmonic mean inequality for the gamma function. Zbl 0888.33001Alzer, Horst 6 1997 Remark on a double-inequality for the Riemann zeta function. Zbl 1114.11070Alzer, Horst 6 2005 Inequalities for arithmetic, geometric and harmonic means. Zbl 0707.26014Alzer, Horst 6 1990 On the Cauchy-Schwarz inequality. Zbl 0933.26010Alzer, Horst 6 1999 A submultiplicative property of the psi function. Zbl 0943.33001Alzer, Horst; Ruehr, O. G. 6 1999 Sharp inequalities for trigonometric sums in two variables. Zbl 1099.42001Alzer, Horst; Koumandos, Stamatis 6 2004 On Gautschi’s harmonic mean inequality for the gamma function. Zbl 1021.33002Alzer, Horst 6 2003 A sharp bound for a sine polynomial. Zbl 1028.26011Alzer, Horst; Koumandos, Stamatis 6 2003 Proof of the Chen-Rubin conjecture. Zbl 1077.62005Alzer, Horst 6 2005 Converses of two inequalities of Ky Fan, O. Taussky, and J. Todd. Zbl 0747.26014Alzer, Horst 5 1991 An Opial-type inequality involving higher-order derivatives of two functions. Zbl 0885.26011Alzer, H. 5 1997 Inequalities for two sine polynomials. Zbl 1091.26009Alzer, Horst; Koumandos, Stamatis 5 2006 On some inequalities involving \((n!)^{1/n}\). Zbl 0826.26005Alzer, Horst 5 1994 Four parametric linear Euler sums. Zbl 1437.11123Alzer, Horst; Choi, Junesang 5 2020 Gamma function inequalities. Zbl 1167.33001Alzer, Horst 5 2008 Series and product representations for some mathematical constants. Zbl 1197.11013Alzer, Horst; Koumandos, Stamatis 5 2009 Inequalities for Euler’s gamma function. Zbl 1163.33001Alzer, Horst 5 2008 Sharp bounds for trigonometric polynomials in two variables. Zbl 1180.42002Alzer, Horst; Shi, Xiquan 5 2009 On Ruehr’s identities. Zbl 1488.05019Alzer, Horst; Prodinger, Helmut 4 2018 A proof of the arithmetic mean-geometric mean inequality. Zbl 0867.26014Alzer, Horst 4 1996 Über eine einparametrige Familie von Mittelwerten. II. (On a one- parametric family of means. II). Zbl 0688.26009Alzer, Horst 4 1989 Inequalities for the beta function. Zbl 1299.33001Alzer, Horst 4 2014 Verschärfung einer Ungleichung von Ky Fan. Zbl 0655.26011Alzer, Horst 4 1988 Inequalities for the Hurwitz zeta function. Zbl 0997.11071Alzer, Horst 4 2000 On the intersection of two-parameter mean value families. Zbl 0979.26015Alzer, Horst; Ruscheweyh, Stephan 4 2001 On an integral inequality. Zbl 0721.26011Alzer, Horst 4 1989 On some inequalities involving \((n!)^{1/n}\). II. Zbl 0835.26013Alzer, H. 4 1994 Refinement of an inequality of G. Bennett. Zbl 0835.26011Alzer, Horst 4 1994 An improvement of the constants in a reverse integral inequality. Zbl 0823.26013Alzer, Horst 4 1995 A note on Hadamard’s inequalities. Zbl 0707.26012Alzer, Horst 4 1989 A functional inequality for the polygamma functions. Zbl 1095.39022Alzer, Horst 4 2005 Remark on the stability of the gamma functional equation. Zbl 0929.39014Alzer, Horst 4 1999 On a conjecture of Clark and Ismail. Zbl 1071.33004Alzer, Horst; Berg, Christian; Koumandos, Stamatis 4 2005 Some beta-function inequalities. Zbl 1045.33003Alzer, Horst 4 2003 Four parametric linear Euler sums. Zbl 1437.11123Alzer, Horst; Choi, Junesang 5 2020 A concavity property of the complete elliptic integral of the first kind. Zbl 1447.26013Alzer, Horst; Richards, Kendall C. 3 2020 Remarks on a convexity theorem of Raşa. Zbl 1435.26005Alzer, Horst 2 2020 Sharp bounds for the arc lemniscate sine function. Zbl 1470.26022Alzer, Horst; Kwong, Man Kam 1 2020 On two trigonometric inequalities of Askey and Steinig. Zbl 1431.26011Alzer, Horst; Kwong, Man Kam 1 2020 Identities and inequalities for sums involving binomial coefficients. Zbl 1435.05030Alzer, Horst; Prodinger, Helmut 1 2020 Some identities involving central binomial coefficients and Catalan numbers. Zbl 1459.11049Alzer, Horst; Nagy, Gábor V. 1 2020 On Young’s inequality. Zbl 1400.26042Alzer, Horst; Kwong, Man Kam 3 2019 On Engel’s inequality for Bell numbers. Zbl 1423.05024Alzer, Horst 1 2019 A monotonicity property of the Mittag-Leffler function. Zbl 1438.26018Alzer, Horst; Kwong, Man Kam 1 2019 Complete monotonicity of a function related to the binomial probability. Zbl 1377.33001Alzer, Horst 10 2018 On Jordan’s inequality. Zbl 1413.26031Alzer, Horst; Kwong, Man Kam 7 2018 On Ruehr’s identities. Zbl 1488.05019Alzer, Horst; Prodinger, Helmut 4 2018 On a trigonometric inequality of Askey and Steinig. Zbl 1391.42003Alzer, Horst; Kwong, Man Kam 2 2018 New series representations for Apéry’s and other classical constants. Zbl 1413.11017Alzer, H.; Sofo, A. 2 2018 On a sine polynomial of Turán. Zbl 1392.26024Alzer, Horst; Kwong, Man Kam 1 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 20 2017 A harmonic mean inequality for the digamma function and related results. Zbl 1366.33003Alzer, Horst; Jameson, Graham 7 2017 The Riemann zeta function and classes of infinite series. Zbl 07481067Alzer, Horst; Choi, Junesang 1 2017 Inequalities for combinatorial sums. Zbl 1364.05014Alzer, Horst; Kwong, Man Kam 1 2017 Series representations for special functions and mathematical constants. Zbl 1416.33001Alzer, Horst; Richards, Kendall C. 4 2016 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 A parametrized series representation for Apery’s constant \(\zeta(3)\). Zbl 1342.11072Alzer, Horst; Sondow, Jonathan 2 2016 A mean value inequality for Euler’s beta function. Zbl 1367.33004Alzer, Horst; Paris, Richard B. 1 2016 Inequalities for mean values in two variables. Zbl 1390.26030Alzer, Horst 1 2016 Notes on a combinatorial identity. Zbl 1360.05016Alzer, Horst; Prodinger, Helmut 1 2016 Young-type inequalities and their matrix analogues. Zbl 1316.15023Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander 14 2015 A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities. Zbl 1363.33011Alzer, Horst; Richards, Kendall 10 2015 On the modulus of the Grötzsch ring. Zbl 1327.30021Alzer, Horst; Richards, Kendall 9 2015 On the concavity of Dirichlet’s eta function and related functional inequalities. Zbl 1311.11087Alzer, Horst; Kwong, Man Kam 9 2015 The Hurwitz zeta function: monotonicity, convexity and inequalities. Zbl 1336.11063Alzer, Horst 2 2015 Rogosinski-Szegő type inequalities for trigonometric sums. Zbl 1316.26018Alzer, Horst; Kwong, Man Kam 1 2015 On a combinatorial sum. Zbl 1315.05137Alzer, Horst 1 2015 Inequalities for the beta function. Zbl 1299.33001Alzer, Horst 4 2014 Inequalities involving gamma and digamma functions. Zbl 1374.33002Alzer, Horst; Chen, Chao-Ping 2 2014 Extension of a trigonometric inequality of Turán. Zbl 1324.26022Alzer, Horst; Kwong, Man Kam 2 2014 On Boole’s formula for factorials. Zbl 1296.05013Alzer, Horst; Chapman, Robin 1 2014 Two trigonometric identities. Zbl 1307.26001Alzer, Horst; Chu, Wenchang 1 2014 A subadditive property of the error function. Zbl 1320.33005Alzer, 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 An inequality for the function \(\pi(n)\). Zbl 1291.11010Alzer, Horst 1 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 9 2012 On trigonometric sums in two variables. Zbl 1296.26050Alzer, Horst; Yin, Qinghe 2 2012 Monotonicity properties of the Riemann zeta function. Zbl 1329.11086Alzer, Horst 2 2012 On a trigonometric inequality of Turán. Zbl 1253.42001Alzer, Horst; Fuglede, Bent 2 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 2 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 11 2010 Integral inequalities for self-reciprocal polynomials. Zbl 1202.30005Alzer, Horst 2 2010 A refinement of Vietoris’ inequality for sine polynomials. Zbl 1202.42005Alzer, Horst; Koumandos, Stamatis; Lamprecht, Martin 2 2010 Sharp upper and lower bounds for the gamma function. Zbl 1188.33002Alzer, Horst 20 2009 A Turán-type inequality for the gamma function. Zbl 1198.33001Alzer, Horst; Felder, Giovanni 16 2009 Functional inequalities for the error function. II. Zbl 1208.33003Alzer, Horst 8 2009 Series and product representations for some mathematical constants. Zbl 1197.11013Alzer, Horst; Koumandos, Stamatis 5 2009 Sharp bounds for trigonometric polynomials in two variables. Zbl 1180.42002Alzer, Horst; Shi, Xiquan 5 2009 Inequalities for Riemann’s zeta function. Zbl 1201.11086Alzer, Horst 3 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 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 16 2008 Series representations for \(\gamma\) and other mathematical constants. Zbl 1164.40001Alzer, Horst; Koumandos, Stamatis 9 2008 On the partial sums of a Fourier series. Zbl 1152.42300Alzer, Horst; Koumandos, Stamatis 7 2008 Gamma function inequalities. Zbl 1167.33001Alzer, Horst 5 2008 Inequalities for Euler’s gamma function. Zbl 1163.33001Alzer, Horst 5 2008 Monotonicity properties of the gamma function. Zbl 1135.33300Alzer, Horst; Batir, Necdet 28 2007 Inequalities for the gamma and \(q\)-gamma functions. Zbl 1108.33001Alzer, Horst; Grinshpan, Arcadii Z. 22 2007 Sub- and superadditive properties of Euler’s Gamma function. Zbl 1126.33001Alzer, Horst 14 2007 On Turán’s inequality for Legendre polynomials. Zbl 1155.26012Alzer, Horst; Gerhold, Stefan; Kauers, Manuel; Lupaş, Alexandru 11 2007 A new refinement of Young’s inequality. Zbl 1126.26015Alzer, Horst; Koumandos, Stamatis 9 2007 Some classes of completely monotonic functions. II. Zbl 1110.26015Alzer, Horst; Berg, Christian 38 2006 Series representations for some mathematical constants. Zbl 1093.33010Alzer, Horst; Karayannakis, Dimitri; Srivastava, H. M. 36 2006 Sharp inequalities for the harmonic numbers. Zbl 1105.11003Alzer, Horst 10 2006 Sub- and superadditive properties of Fejér’s sine polynomial. Zbl 1086.42001Alzer, Horst; Koumandos, Stamatis 9 2006 Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\). Zbl 1091.33001Alzer, Horst 8 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 Remark on a double-inequality for the Riemann zeta function. Zbl 1114.11070Alzer, Horst 6 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 On a conjecture of Clark and Ismail. Zbl 1071.33004Alzer, Horst; Berg, Christian; Koumandos, Stamatis 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 Monotonicity theorems and inequalities for the complete elliptic integrals. Zbl 1059.33029Alzer, Horst; Qiu, Songliang 107 2004 Sharp inequalities for the diagramma and polygamma functions. Zbl 1048.33001Alzer, Horst 45 2004 On Ramanujan’s inequalities for \(\exp(k)\). Zbl 1051.33001Alzer, Horst 9 2004 Sharp inequalities for trigonometric sums in two variables. Zbl 1099.42001Alzer, Horst; Koumandos, Stamatis 6 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 47 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 17 2003 Sharp inequalities for trigonometric sums. Zbl 1034.26007Alzer, Horst; Koumandos, Stamatis 8 2003 ...and 118 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 757 Authors 111 Chu, Yuming 97 Alzer, Horst 58 Yang, Zhenhang 49 Chen, Chaoping 49 Qi, Feng 39 Wang, Miaokun 29 Mortici, Cristinel 25 Qian, Weimao 23 Tian, Jingfeng 23 Zhao, Tiehong 23 Zhu, Ling 22 Guo, Bai-Ni 20 Srivastava, Hari Mohan 19 Kwong, Man Kam 18 Qiu, Songliang 17 Baricz, Árpád 17 Yin, Li 16 Batir, Necdet 16 Choi, Junesang 16 Dragomir, Sever Silvestru 15 Lu, Dawei 15 Sofo, Anthony 15 Zhang, Wen 14 Pečarić, Josip 13 Koumandos, Stamatis 12 Sándor, József 11 Gao, Peng 11 Karp, Dmitriĭ Borisovich 11 Zhang, Xiaohui 10 Guo, Senlin 10 Long, Boyong 9 Berg, Christian 9 Bhayo, Barkat Ali 9 Li, Yongmin 9 Richards, Kendall C. 8 Pedersen, Henrik Laurberg 8 Song, Yingqing 8 Zheng, Shenzhou 7 Cerone, Pietro 7 Jiang, Yueping 7 Lin, Xiuli 7 Neuman, Edward 7 Pogány, Tibor K. 7 Vuorinen, Matti Keijo Kustaa 6 Adell, José Antonio 6 Bagul, Yogesh J. 6 Chen, Xiaodiao 6 Chu, Hong-Hu 6 He, Zaiyin 6 Huang, Liguo 6 Ismail, Mourad El-Houssieny 6 Malešević, Branko J. 6 Qiu, Yefang 6 Salem, Ahmed 5 Huang, TiRen 5 Laforgia, Andrea 5 Ma, Congxu 5 Ma, Xiaoyan 5 Mehrez, Khaled 5 Páles, Zsolt 5 Paris, Richard Bruce 5 Song, Lixin 5 Xia, Weifeng 5 Zhang, Xiaoming 4 Chen, William Yong-Chuan 4 Chesneau, Christophe 4 Das, Sourav 4 Elezović, Neven 4 Guan, Kaizhong 4 Lim, Dongkyu 4 Lin, Long 4 Mercer, A. McD. 4 Merkle, Milan J. 4 Niu, Dawei 4 Ponnusamy, Saminathan 4 Rooin, Jamal 4 Xu, Huizuo 3 Anderson, Glen Douglas 3 Barnard, Roger W. 3 Bhandari, Piyush Kumar 3 Bissu, Sushil Kumar 3 Chu, Wenchang 3 Coffey, Mark William 3 Dhaigude, Ramkrishna M. 3 Dixit, Atul 3 Giordano, Carla 3 Grinshpan, Arcadii Z. 3 Igarashi, Gaku 3 Kakizawa, Yoshihide 3 Kouba, Omran 3 Liu, Zhiming 3 Luo, Qiuming 3 Mahmoud, Mansour 3 Masjed-Jamei, Mohammad 3 Matejíčka, Ladislav 3 Matkowski, Janusz 3 Mondal, Saiful Rahman 3 Moslehian, Mohammad Sal 3 Nantomah, Kwara 3 Ouimet, Frédéric ...and 657 more Authors all top 5 Cited in 214 Serials 101 Journal of Mathematical Analysis and Applications 94 Journal of Inequalities and Applications 45 Applied Mathematics and Computation 35 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. 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Third Series 2 Bernoulli 2 Fractional Calculus & Applied Analysis 2 Journal of Integer Sequences 2 Cubo 2 International Journal of Number Theory 2 Complex Variables and Elliptic Equations 2 Optimization Letters 2 Banach Journal of Mathematical Analysis 2 Analysis and Mathematical Physics 2 Arabian Journal of Mathematics ...and 114 more Serials all top 5 Cited in 45 Fields 587 Real functions (26-XX) 543 Special functions (33-XX) 138 Number theory (11-XX) 100 Approximations and expansions (41-XX) 46 Combinatorics (05-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 45 Probability theory and stochastic processes (60-XX) 43 Functions of a complex variable (30-XX) 43 Sequences, series, summability (40-XX) 39 Difference and functional equations (39-XX) 38 Numerical analysis (65-XX) 29 Statistics (62-XX) 28 Integral transforms, operational calculus (44-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Operator theory (47-XX) 10 Information and communication theory, circuits (94-XX) 9 Functional analysis (46-XX) 8 Ordinary differential equations (34-XX) 7 Potential theory (31-XX) 7 Convex and discrete geometry (52-XX) 6 Computer science (68-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Operations research, mathematical programming (90-XX) 4 Partial differential equations (35-XX) 4 Geometry (51-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) 3 Statistical mechanics, structure of matter (82-XX) 3 Mathematics education (97-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year