New convex functions in linear spaces and Jensen’s discrete inequality

Journal of inequalities and applications

Xiusu Chen¹ 

关键词: s-Orlicz convex functions;    s-convex functions;    Jensen’s inequalities;   

DOI  :  10.1186/1029-242X-2013-472

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present paper we introduce a new class of s-convex functions defined on a convex subset of a real linear space, establish some inequalities of Jensen’s type for this class of functions. Our results in special cases yield some of the recent results on classic convex functions.

【 授权许可】

CC BY