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

被引：81

作者：

Fang, Zhong Bo ^{[1
]}

Shi, Renjie ^{[1
]}

机构：

[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

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

页数：16

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