On the (p, h)-convex function and some integral inequalities

被引:80
|
作者
Fang, Zhong Bo [1 ]
Shi, Renjie [1 ]
机构
[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
关键词
(p; h)-convex function; Schur-type inequality; Jensen-type inequality; Hadamard-type inequality;
D O I
10.1186/1029-242X-2014-45
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce a new class of (p, h)-convex functions which generalize P-functions and convex, h, p, s-convex, Godunova-Levin functions, and we give some properties of the functions. Moreover, we establish the corresponding Schur, Jensen, and Hadamard types of inequalities.
引用
收藏
页数:16
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