Some estimates on the Hermite-Hadamard inequality through quasi-convex functions

被引：0
|
作者：
Ion, Daniel Alexandru [1 ]
机构：
[1] Univ Craiova, Dept Math, 13 I Cuza St, Craiova 200585, Romania
来源：
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2007年 / 34卷
关键词：
Hermite-Hadamard inequality; quasi-convex function; Iyengar's type inequality; trapezoidal formula;
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 some estimates of the right hand side of a Hermite-Hadamard type inequality in which some quasi-convex functions are involved. We also point out some applications of our results to give estimates for the approximation error of the integral integral(b)(a) f (x) dx in the trapezoidal formula. Next, we extend our initial results to functions of several variables.
引用
收藏
页码：83 / 88
页数：6
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