A further refinement of Wilker's inequality

被引：51

作者：

Wu, Shan-He ^{[2
]}

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

机构：

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

[2] Longyan Univ, Dept Math & Comp Sci, Longyan, Fujian, Peoples R China

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2008年 / 19卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Wilker's inequality; Wilker-Anglesio inequality; power series; polynomial representation; Bernoulli numbers; exponential generating functions; refinement of Wilker's inequality; Riemann Zeta function; meromorphic continuation;

D O I：

10.1080/10652460802340931

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By introducing the Taylor polynomials, a significantly refined version of Wilker's inequality is established. The result is then used to obtain several substantially more refined inequalities of the Wilker type.

引用

页码：757 / 765

页数：9

共 21 条

[1]

[Anonymous], OCTOG MATH MAG

[2]

[Anonymous], 2005, RGMIA RES REP COLLEC

[3]

Erdelyi A., 1953, Higher Transcendental Functions, California Institute of Technology. Bateman Manuscript Project, VI

[4]

Guo BN, 2003, INEQUALITY THEORY AND APPLICATIONS, VOL 2, P109

[5] On new proofs of Wilker's inequalities involving trigonometric functions [J].

Guo, BN ;

Qiao, BM ;

Qi, F ;

Li, W .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2003, 6 (01) :19-22

[6]

GUO BN, 2000, RGMIA RES REP COLL, V3, P1

[7]

HUYGENS C, 1940, OEUVRES COMPLETES, V1

[8]

Meyyappan M, 2006, PROC IEEE MICR ELECT, P1

[9] L'hospital rules for monotonicity and the Wilker-Anglesio inequality [J].

Pinelis, I .

AMERICAN MATHEMATICAL MONTHLY, 2004, 111 (10) :905-909

[10]

Pinelis I., 2002, J. Inequal. Pure Appl. Math, V3, P1

← 1 2 3 →