On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula

被引：94

作者：

Kirmaci, US ^{[1
]}

Özdemir, ME ^{[1
]}

机构：

[1] Ataturk Univ, KK Educ Fac, Dept Math, TR-25240 Erzurum, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 153卷 / 02期

关键词：

Hermite-Hadamard inequality; convex functions; concave functions; special means; midpoint formula; integral inequalities;

D O I：

10.1016/S0096-3003(03)00637-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some inequalities are presented here for differentiable convex mappings, using Hermite-Hadamard's integral inequality holding for convex functions. A parallel development is deduced for differentiable concave functions. Some applications to special means of real numbers are also given. Finally, some error estimates for the midpoint formula are obtained. Published by Elsevier Inc.

引用

页码：361 / 368

页数：8