On some inequalities for relative semi-convex functions

Journal of inequalities and applications

Muhammad Aslam Noor¹ 

关键词: relative semi-convex function;    convex set;    Hermite-Hadamard inequality;    fractional integral;   

DOI  :  10.1186/1029-242X-2013-332

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider and study a new class of convex functions that are called relative semi-convex functions. Some Hermite-Hadamard inequalities for the relative semi-convex function and its variant forms are derived. Several special cases are also discussed. Results proved in this paper may stimulate further research in this area. MSC:26D15, 26A51, 49J40.

【 授权许可】

CC BY