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Alzer, Horst

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

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)

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