NEW OSTROWSKI TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS AND APPLICATIONS

被引：0

作者：

Kavurmaci, Havva ^{[1
]}

Ozdemir, M. Emin ^{[1
]}

Avci, Merve ^{[1
]}

机构：

[1] Ataturk Univ, KK Educ Fac, Dept Math, Erzurum, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2011年 / 40卷 / 02期

关键词：

m-convex function; Starshaped function; Convex function; Ostrowski inequality; Hermite-Hadamard inequality; Holder inequality; Power Mean inequality; Special means; The midpoint formula; Lipschitzian mapping; DIFFERENTIABLE MAPPINGS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish new inequalities of Ostrowski type, for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates for the midpoint formula.

引用

页码：135 / 145

页数：11

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