Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula

被引：692
作者：
Dragomir, SS
Agarwal, RP
机构：
[1] Univ Trasnkei, Dept Math, ZA-5100 Umtata, South Africa
[2] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
来源：
APPLIED MATHEMATICS LETTERS | 1998年 / 11卷 / 05期
关键词：
Hermite-Hadamard inequality; convex functions; integral inequalities; trapezoidal formula; special means; numerical integration;
D O I：
10.1016/S0893-9659(98)00086-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we shall offer two inequalities for differentiable convex mappings which are connected with the celebrated Hermite-Hadamard's integral inequality holding for convex functions. Some natural applications to special means of real numbers are given. Finally, some error estimates for the trapezoidal formula, are also addressed. (C) 1998 Elsevier Science Ltd. All rights reserved.
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页码：91 / 95
页数：5
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