SOME INEQUALITIES FOR DIFFERENTIABLE MAPPINGS AND APPLICATIONS TO FEJER INEQUALITY AND WEIGHTED TRAPEZOIDAL FORMULA

被引：31

作者：

Tseng, Kuei-Lin ^{[1
]}

Yang, Gou-Sheng ^{[2
]}

Hsu, Kai-Chen ^{[3
]}

机构：

[1] Aletheia Univ, Dept Math, Tamsui 25103, Taiwan

[2] Tamkang Univ, Dept Math, Tamsui 25137, Taiwan

[3] Aletheia Univ, Dept Business Adm, Tamsui 25103, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 04期

关键词：

Hermite-Hadamard's inequality; Fejer's inequality; Convex mappings; Trapezoidal formula;

D O I：

10.11650/twjm/1500406376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish some inequalities for differentiable convex mappings whose derivatives in absolute value are convex. This result is connected with Fejer's inequality holding for convex mappings. Some applications for the weighted trapezoidal formula, r-moment, and the expectation of a symmetric and continuous random variable are given.

引用

页码：1737 / 1747

页数：11

共 15 条

[1]

[Anonymous], ANZIAM J

[2] A quasi-trapezoid inequality for double integrals [J].