Inequalities for differentiable mappings with application to special means and quadrature formulae

被引：227

作者：

Pearce, CEM ^{[1
]}

Pecaric, J ^{[1
]}

机构：

[1] Univ Adelaide, Dept Appl Math, Adelaide, SA 5005, Australia

来源：

APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 02期

关键词：

hermite-Hadamard inequality; convex functions; integral inequalities; trapezoidal formula; midpoint formula; special means; numerical integration;

D O I：

10.1016/S0893-9659(99)00164-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Improvements are obtained to some recent error estimates of Dragomir and Agarwal, based on convexity, for the trapezoidal formula. Corresponding estimates are established for the midpoint formula. A parallel development is made based on concavity. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：51 / 55

页数：5