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

Jun Zhang¹, Zhi-Li Pei¹ and Feng Qi^{2, 3,}

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

Cite this paper:
Jun Zhang, Zhi-Li Pei and 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

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:
Hermite-Hadamard type type inequality Integral identity ε-convex function

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