NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s-CONVEX FUNCTIONS

被引：32

作者：

Sarikaya, Mehmet Zeki ^{[1
]}

Kiris, Mehmet Eyup ^{[2
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

[2] Afyon Kocatepe Univ, Fac Sci & Arts, Dept Math, Afyon, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2015年 / 16卷 / 01期

关键词：

Hermite-Hadamard type inequality; s-convex function; Holder inequality; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; MIDPOINT FORMULA;

D O I：

10.18514/MMN.2015.1099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some new results related of the left-hand side of the Hermite-Hadamard type inequalities for the class of mappings whose second derivatives at certain powers are s-convex in the second sense are established. Also, some applications to special means of real numbers are provided.

引用

页码：491 / 501

页数：11

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