Hermite-Hadamard-type inequalities via (α, m)-convexity

被引：81
|
作者：
Ozdemir, M. Emin [1 ]
Avci, Merve [1 ]
Kavurmaci, Havva [1 ]
机构：
[1] Ataturk Univ, KK Educ Fac, Dept Math, TR-25240 Erzurum, Turkey
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 09期
关键词：
(alpha; m)-convex functions; Convexity; Hermite-Hadamard inequality; Holder's integral inequality; Power-mean integral inequality; Euler-beta function; Gamma function;
D O I：
10.1016/j.camwa.2011.02.053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish several new inequalities for functions whose second derivative in absolute value aroused to the qth (q >= 1) power are (alpha, m)-convex. Some applications to special means of positive real numbers are also given. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2614 / 2620
页数：7
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