Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means

被引：95

作者：

Alomari, M. ^{[1
]}

Darus, M. ^{[1
]}

Kirmaci, U. S. ^{[2
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 01期

关键词：

Quasi-convex function; Hadamard's inequality; Trapezoidal formula; Arithmetic mean; Logarithmic mean; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.1016/j.camwa.2009.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some inequalities of Hadamard's type for quasi-convex functions are given. Some error estimates for the Trapezoidal formula are obtained. Applications to some special means are considered. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：225 / 232

页数：8

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