NEW INEQUALITIES FOR SOME GENERALIZED MATHIEU TYPE SERIES AND THE RIEMANN ZETA FUNCTION

被引：13

作者：

Srivastava, H. M. ^{[1
,2
]}

Mehrez, Khaled ^{[3
,4
]}

Tomovski, Zivorad ^{[5
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[3] Univ Kairouan, Dept Math ISSAT Kasserine, Kasserine 1200, Tunisia

[4] Univ Tunis El Manar, Fac Sci Tunis, Tunis 1068, Tunisia

[5] St Cyril & Methodius Univ Skopje, Fac Nat Sci & Math, Inst Math, MK-1000 Skopje, Macedonia

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2018年 / 12卷 / 01期

关键词：

Mathieu series; generalized Mathieu series; Riemann zeta function; inequalities; Bessel function; Mellin and Laplace integral representations; Turan type inequalities; FAMILIES;

D O I：

10.7153/jmi-2018-12-13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim in this paper is to derive several new inequalities for the Mathieu type series and the Riemann zeta function. In particular, we prove Turan type inequalities and some monotonicity and log-convexity results for these special functions. New Laplace type integral representations for the Mathieu type series and the Riemann zeta function are also presented.

引用

页码：163 / 174

页数：12

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