Research

Journal of Inequalities and Applications

, 2013:332

Open Access This content is freely available online to anyone, anywhere at any time.

On some inequalities for relative semi-convex functions

  • Muhammad Aslam NoorAffiliated withMathematics Department, COMSATS Institute of Information Technology Email author 
  • , Muhammad Uzair AwanAffiliated withMathematics Department, COMSATS Institute of Information Technology
  • , Khalida Inayat NoorAffiliated withMathematics Department, COMSATS Institute of Information Technology

Abstract

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.

Keywords

relative semi-convex function convex set Hermite-Hadamard inequality fractional integral