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B.-Y. Xi and F. Qi, Inequalities of Hermite-Hadamard type for extended s-convex functions and applications to means, J. Nonlinear Convex Anal,. 16(2015), 873-890.

has been cited by the following article:

Article

Some Integral Inequalities of Hermite-Hadamard Type for ε-convex Functions

1College of Computer Science and Technology, Inner Mongolia University for Nationalities, Tongliao City 028043, Inner Mongolia Autonomous Region, China

2School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China,

3Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, 300387, China


Turkish Journal of Analysis and Number Theory. 2017, Vol. 5 No. 3, 117-120
DOI: 10.12691/tjant-5-3-5
Copyright © 2017 Science and Education Publishing

Cite this paper:
Jun Zhang, Zhi-Li Pei, Feng Qi. Some Integral Inequalities of Hermite-Hadamard Type for ε-convex Functions. Turkish Journal of Analysis and Number Theory. 2017; 5(3):117-120. doi: 10.12691/tjant-5-3-5.

Correspondence to: Feng  Qi, School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China,. Email: qifeng618@gmail.com

Abstract

In the paper, the authors establish a new integral identity. By this integral identity and Hölder’s inequality, the authors obtain some new inequalities of the Hermite-Hadamard type for ε-convex functions.

Keywords