Alzer, Horst; Kwong, Man Kam; Raşa, Ioan Remarks on a lemma of Schmidt. (English) Zbl 1521.26012 Result. Math. 78, No. 6, Paper No. 216, 10 p. (2023). MSC: 26D07 26D15 PDFBibTeX XMLCite \textit{H. Alzer} et al., Result. Math. 78, No. 6, Paper No. 216, 10 p. (2023; Zbl 1521.26012) Full Text: DOI
Alzer, H.; Kwong, M. K. Mean value inequalities for the digamma function. (English) Zbl 1524.26030 Anal. Math. 49, No. 1, 1-17 (2023). Reviewer: László Losonczi (Debrecen) MSC: 26D07 33B15 39B62 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{M. K. Kwong}, Anal. Math. 49, No. 1, 1--17 (2023; Zbl 1524.26030) Full Text: DOI
Alzer, Horst; Salem, Ahmed A harmonic mean inequality for the \(q\)-gamma function. (English) Zbl 1502.33006 Ramanujan J. 58, No. 4, 1025-1041 (2022). Reviewer: Neha Malik (New Delhi) MSC: 33D05 26D07 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{A. Salem}, Ramanujan J. 58, No. 4, 1025--1041 (2022; Zbl 1502.33006) Full Text: DOI
Alzer, Horst A mean value inequality for the cyclic functions. (English) Zbl 1502.26016 Integral Transforms Spec. Funct. 33, No. 7, 530-534 (2022). MSC: 26D07 33E12 PDFBibTeX XMLCite \textit{H. Alzer}, Integral Transforms Spec. Funct. 33, No. 7, 530--534 (2022; Zbl 1502.26016) Full Text: DOI
Alzer, Horst; Ferreira, Rui A. C. Concavity and generalized entropy. (English) Zbl 1516.26014 Appl. Math. E-Notes 21, 37-43 (2021). MSC: 26D07 26A51 33B15 94A17 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{R. A. C. Ferreira}, Appl. Math. E-Notes 21, 37--43 (2021; Zbl 1516.26014) Full Text: Link
Alzer, Horst; Kwong, Man Kam Some inequalities for the Riemann zeta function. (English) Zbl 1501.11085 Rend. Ist. Mat. Univ. Trieste 53, Paper No. 5, 11 p. (2021). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 11A25 26D07 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{M. K. Kwong}, Rend. Ist. Mat. Univ. Trieste 53, Paper No. 5, 11 p. (2021; Zbl 1501.11085) Full Text: DOI
Alzer, Horst Inequalities for weighted arithmetic and geometric means. (English) Zbl 1482.26021 Real Anal. Exch. 46, No. 2, 359-366 (2021). MSC: 26D07 26E60 39B62 PDFBibTeX XMLCite \textit{H. Alzer}, Real Anal. Exch. 46, No. 2, 359--366 (2021; Zbl 1482.26021) Full Text: DOI Link
Alzer, Horst; Kwong, Man Kam On Ivády’s bounds for the gamma function and related results. (English) Zbl 1499.33005 Period. Math. Hung. 82, No. 2, 115-124 (2021). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 33B15 26A51 26D07 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{M. K. Kwong}, Period. Math. Hung. 82, No. 2, 115--124 (2021; Zbl 1499.33005) Full Text: DOI
Alzer, Horst; Kwong, Man Kam A chain of mean value inequalities. (English) Zbl 1499.26056 Appl. Anal. Discrete Math. 14, No. 2, 490-497 (2020). MSC: 26D07 26E60 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{M. K. Kwong}, Appl. Anal. Discrete Math. 14, No. 2, 490--497 (2020; Zbl 1499.26056) Full Text: DOI
Alzer, Horst; Kwong, Man Kam Sharp bounds for the arc lemniscate sine function. (English) Zbl 1470.26022 Appl. Math. E-Notes 20, 93-95 (2020). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D07 11M35 33E30 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{M. K. Kwong}, Appl. Math. E-Notes 20, 93--95 (2020; Zbl 1470.26022) Full Text: arXiv Link
Alzer, Horst; Richards, Kendall C. A concavity property of the complete elliptic integral of the first kind. (English) Zbl 1447.26013 Integral Transforms Spec. Funct. 31, No. 9, 758-768 (2020). Reviewer: Klaus Schiefermayr (Wels) MSC: 26D07 33C05 33E05 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{K. C. Richards}, Integral Transforms Spec. Funct. 31, No. 9, 758--768 (2020; Zbl 1447.26013) Full Text: DOI
Alzer, Horst Inequalities for the exponential function. (English) Zbl 1444.26014 Jaen J. Approx. 11, No. 1-2, 31-45 (2019). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D07 39B62 PDFBibTeX XMLCite \textit{H. Alzer}, Jaen J. Approx. 11, No. 1--2, 31--45 (2019; Zbl 1444.26014) Full Text: Link Link
Alzer, Horst; Kwong, Man Kam A two-parameter class of completely monotonic functions. (English) Zbl 1407.26016 Proc. Am. Math. Soc. 147, No. 1, 191-204 (2019). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 26A48 26A51 26D07 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{M. K. Kwong}, Proc. Am. Math. Soc. 147, No. 1, 191--204 (2019; Zbl 1407.26016) Full Text: DOI
Alzer, Horst; Kwong, Man Kam On Fejér’s inequalities for the Legendre polynomials. (English) Zbl 1381.33013 Math. Nachr. 290, No. 17-18, 2740-2754 (2017). MSC: 33C45 26D07 42C05 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{M. K. Kwong}, Math. Nachr. 290, No. 17--18, 2740--2754 (2017; Zbl 1381.33013) Full Text: DOI
Alzer, Horst Inequalities for mean values in two variables. (English) Zbl 1390.26030 Real Anal. Exch. 41(2015-2016), No. 1, 101-122 (2016). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D07 26A48 26A51 PDFBibTeX XMLCite \textit{H. Alzer}, Real Anal. Exch. 41, No. 1, 101--122 (2016; Zbl 1390.26030) Full Text: DOI Euclid
Alzer, Horst; Paris, Richard B. A mean value inequality for Euler’s beta function. (English) Zbl 1367.33004 Ir. Math. Soc. Bull. 78, 25-30 (2016). MSC: 33B15 26D07 26E60 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{R. B. Paris}, Ir. Math. Soc. Bull. 78, 25--30 (2016; Zbl 1367.33004)
Alzer, Horst On inequalities for the gamma function. (English) Zbl 1379.33001 Jaen J. Approx. 7, No. 1, 57-95 (2015). MSC: 33B15 11B39 26D07 PDFBibTeX XMLCite \textit{H. Alzer}, Jaen J. Approx. 7, No. 1, 57--95 (2015; Zbl 1379.33001)
Alzer, Horst The Hurwitz zeta function: monotonicity, convexity and inequalities. (English) Zbl 1336.11063 Aequationes Math. 89, No. 6, 1401-1414 (2015). Reviewer: Roma Kačinskaitė (Šiauliai) MSC: 11M35 26A48 26A51 26D07 PDFBibTeX XMLCite \textit{H. Alzer}, Aequationes Math. 89, No. 6, 1401--1414 (2015; Zbl 1336.11063) Full Text: DOI
Alzer, Horst A Kuczma-type functional inequality for error and complementary error functions. (English) Zbl 1321.26035 Aequationes Math. 89, No. 3, 927-935 (2015). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D07 33B20 39B62 PDFBibTeX XMLCite \textit{H. Alzer}, Aequationes Math. 89, No. 3, 927--935 (2015; Zbl 1321.26035) Full Text: DOI
Alzer, Horst; Kwong, Man Kam On the concavity of Dirichlet’s eta function and related functional inequalities. (English) Zbl 1311.11087 J. Number Theory 151, 172-196 (2015). Reviewer: A. Sankaranarayanan (Mumbai) MSC: 11M41 26D07 39B62 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{M. K. Kwong}, J. Number Theory 151, 172--196 (2015; Zbl 1311.11087) Full Text: DOI
Alzer, Horst Inequalities for the beta function. (English) Zbl 1299.33001 Anal. Math. 40, No. 1, 1-11 (2014). Reviewer: P. K. Banerji (Jodhpur) MSC: 33B15 26D07 32F17 PDFBibTeX XMLCite \textit{H. Alzer}, Anal. Math. 40, No. 1, 1--11 (2014; Zbl 1299.33001) Full Text: DOI
Alzer, Horst Cyclic mean-value inequalities for the gamma function. (English) Zbl 1281.33002 Colloq. Math. 132, No. 1, 27-34 (2013). Reviewer: József Sándor (Cluj-Napoca) MSC: 33B15 26D07 26E60 PDFBibTeX XMLCite \textit{H. Alzer}, Colloq. Math. 132, No. 1, 27--34 (2013; Zbl 1281.33002) Full Text: DOI
Alzer, Horst; Matkowski, Janusz A convexity property and a new characterization of Euler’s gamma function. (English) Zbl 1273.26014 Arch. Math. 100, No. 2, 131-137 (2013). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A51 26D07 33B15 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{J. Matkowski}, Arch. Math. 100, No. 2, 131--137 (2013; Zbl 1273.26014) Full Text: DOI
Alzer, Horst On rational approximation to \(| x| \). (English) Zbl 1240.41026 Stud. Sci. Math. Hung. 46, No. 2, 231-237 (2009). Reviewer: Stamatis Koumandos (Nicosia) MSC: 41A20 26D07 PDFBibTeX XMLCite \textit{H. Alzer}, Stud. Sci. Math. Hung. 46, No. 2, 231--237 (2009; Zbl 1240.41026) Full Text: DOI
Alzer, Horst Inequalities for the volume of the unit ball in \(\mathbb{R}^n\). II. (English) Zbl 1181.26033 Mediterr. J. Math. 5, No. 4, 395-413 (2008). MSC: 26D07 33B15 PDFBibTeX XMLCite \textit{H. Alzer}, Mediterr. J. Math. 5, No. 4, 395--413 (2008; Zbl 1181.26033) Full Text: DOI
Alzer, Horst; Batir, Necdet Monotonicity properties of the gamma function. (English) Zbl 1135.33300 Appl. Math. Lett. 20, No. 7, 778-781 (2007). MSC: 33B15 26D07 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{N. Batir}, Appl. Math. Lett. 20, No. 7, 778--781 (2007; Zbl 1135.33300) Full Text: DOI
Alzer, Horst; Berg, Christian; Koumandos, Stamatis On a conjecture of Clark and Ismail. (English) Zbl 1071.33004 J. Approximation Theory 134, No. 1, 102-113 (2005). Reviewer: P. K. Mital (Ajmer) MSC: 33B15 33B30 26A48 26D07 PDFBibTeX XMLCite \textit{H. Alzer} et al., J. Approx. Theory 134, No. 1, 102--113 (2005; Zbl 1071.33004) Full Text: DOI
Alzer, Horst On Ramanujan’s inequalities for \(\exp(k)\). (English) Zbl 1051.33001 J. Lond. Math. Soc., II. Ser. 69, No. 3, 639-656 (2004). MSC: 33B10 26D07 33B20 PDFBibTeX XMLCite \textit{H. Alzer}, J. Lond. Math. Soc., II. Ser. 69, No. 3, 639--656 (2004; Zbl 1051.33001) Full Text: DOI
Alzer, Horst Inequalities for the Beta function of \(n\) variables. (English) Zbl 1032.33001 ANZIAM J. 44, No. 4, 609-623 (2003). Reviewer: János Aczél (Waterloo/Ontario) MSC: 33B15 26D07 PDFBibTeX XMLCite \textit{H. Alzer}, ANZIAM J. 44, No. 4, 609--623 (2003; Zbl 1032.33001) Full Text: DOI
Alzer, Horst; Berg, Christian Some classes of completely monotonic functions. (English) Zbl 1021.26002 Ann. Acad. Sci. Fenn., Math. 27, No. 2, 445-460 (2002). Reviewer: Gheorge Toader (Cluj-Napoca) MSC: 26A48 26D07 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{C. Berg}, Ann. Acad. Sci. Fenn., Math. 27, No. 2, 445--460 (2002; Zbl 1021.26002) Full Text: EuDML EMIS
Alzer, Horst Sharp inequalities for the beta function. (English) Zbl 0983.33001 Indag. Math., New Ser. 12, No. 1, 15-21 (2001). Reviewer: János Aczél (Waterloo/Ontario) MSC: 33B15 26D07 PDFBibTeX XMLCite \textit{H. Alzer}, Indag. Math., New Ser. 12, No. 1, 15--21 (2001; Zbl 0983.33001) Full Text: DOI
Alzer, H. A mean-value inequality for the Gamma function. (English) Zbl 0970.33001 Appl. Math. Lett. 13, No. 2, 111-114 (2000). Reviewer: János Aczél (Waterloo/Ontario) MSC: 33B15 26D07 26D15 PDFBibTeX XMLCite \textit{H. Alzer}, Appl. Math. Lett. 13, No. 2, 111--114 (2000; Zbl 0970.33001) Full Text: DOI
Alzer, Horst Inequalities for the gamma function. (English) Zbl 0966.33001 Proc. Am. Math. Soc. 128, No. 1, 141-147 (2000). MSC: 33B15 26D07 PDFBibTeX XMLCite \textit{H. Alzer}, Proc. Am. Math. Soc. 128, No. 1, 141--147 (2000; Zbl 0966.33001) Full Text: DOI
Alzer, Horst; Wells, Jim Inequalities for the polygamma functions. (English) Zbl 0907.33003 SIAM J. Math. Anal. 29, No. 6, 1459-1466 (1998). MSC: 33B15 26D15 26D07 PDFBibTeX XMLCite \textit{H. Alzer} and \textit{J. Wells}, SIAM J. Math. Anal. 29, No. 6, 1459--1466 (1998; Zbl 0907.33003) Full Text: DOI
Alzer, Horst On some inequalities for the incomplete gamma function. (English) Zbl 0865.33002 Math. Comput. 66, No. 218, 771-778 (1997). MSC: 33B20 26D07 26D15 PDFBibTeX XMLCite \textit{H. Alzer}, Math. Comput. 66, No. 218, 771--778 (1997; Zbl 0865.33002) Full Text: DOI
Alzer, Horst On some inequalities for the gamma and psi functions. (English) Zbl 0854.33001 Math. Comput. 66, No. 217, 373-389 (1997). MSC: 33B15 26D07 PDFBibTeX XMLCite \textit{H. Alzer}, Math. Comput. 66, No. 217, 373--389 (1997; Zbl 0854.33001) Full Text: DOI
Alzer, Horst On Bernstein’s inequality for ultraspherical polynomials. (English) Zbl 0912.33004 Arch. Math. 69, No. 6, 487-490 (1997). Reviewer: Johann Aczél (Waterloo/Ontario) MSC: 33C45 26D07 PDFBibTeX XMLCite \textit{H. Alzer}, Arch. Math. 69, No. 6, 487--490 (1997; Zbl 0912.33004) Full Text: DOI
Alzer, Horst On some inequalities involving \((n!)^{1/n}\). (English) Zbl 0826.26005 Rocky Mt. J. Math. 24, No. 3, 867-873 (1994). Reviewer: J.E.Pečarić (Zagreb) MSC: 26D07 15A15 PDFBibTeX XMLCite \textit{H. Alzer}, Rocky Mt. J. Math. 24, No. 3, 867--873 (1994; Zbl 0826.26005) Full Text: DOI
Alzer, Horst Sharp upper and lower bounds for the exponential function. (English) Zbl 0787.26012 Int. J. Math. Educ. Sci. Technol. 24, No. 2, 315-316 (1993). MSC: 26D07 PDFBibTeX XMLCite \textit{H. Alzer}, Int. J. Math. Educ. Sci. Technol. 24, No. 2, 315--316 (1993; Zbl 0787.26012) Full Text: DOI
Alzer, Horst An inequality for the exponential function. (English) Zbl 0723.26007 Arch. Math. 55, No. 5, 462-464 (1990). Reviewer: J.E.Pečarić (Zagreb) MSC: 26D07 26D15 33B10 PDFBibTeX XMLCite \textit{H. Alzer}, Arch. Math. 55, No. 5, 462--464 (1990; Zbl 0723.26007) Full Text: DOI