On some Hermite-Hadamard type inequalities for (s, QC)-convex functions

Ying Wu; Feng Qi

doi:10.1186/s40064-016-1676-9

On some Hermite-Hadamard type inequalities for (s, QC)-convex functions

Springerplus. 2016 Jan 20:5:49. doi: 10.1186/s40064-016-1676-9. eCollection 2016.

Authors

Ying Wu¹, Feng Qi²

Affiliations

¹ College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, 028043 Inner Mongolia Autonomous Region China.
² Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, 300160 China ; Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, 454010 Henan Province China.

Abstract

In the paper, the authors introduce a new notion "[Formula: see text]-convex function on the co-ordinates" and establish some Hermite-Hadamard type integral inequalities for [Formula: see text]-convex functions on the co-ordinates.

Keywords: (s, QC)-Convex function on the co-ordinates; Convex function; Hermite–Hadamard’s integral inequality.