A companion for the Ostrowski and the generalised trapezoid inequalities

被引：41
作者：
Barnett, N. S. [1 ]
Dragomir, S. S. [1 ]
Gomm, I. [1 ]
机构：
[1] Victoria Univ, Sch Comp Sci & Math, Melbourne, Vic 8001, Australia
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 50卷 / 1-2期
关键词：
Ostrowski inequalities; Generalised trapezoid inequality; Functions of bounded variation; Lipschitzian functions; Convex functions; Absolutely continuous functions; INTEGRAL INEQUALITY; BOUNDED VARIATION; MAPPINGS;
D O I：
10.1016/j.mcm.2009.04.005
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A companion for the Ostrowski and the generalised trapezoid inequalites for various classes of functions, including functions of bounded variation, Lipschitzian, convex and absolutely continuous functions is established. Applications for weighted means are also given. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：179 / 187
页数：9
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