On an implicit convexity concept and some integral inequalities

被引：11
|
作者：
Samet, Bessem [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
关键词：
F-convex; integral inequalities;
D O I：
10.1186/s13660-016-1253-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new concept of convexity that depends on a function F : R x R x R x (0, 1) -> R satisfying certain axioms. The presented concept generalizes many kinds of convexity including epsilon-convex functions, alpha-convex functions, and h-convex functions. Moreover, some integral inequalities are provided via our notion of convexity.
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页数：16
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