Some Integral Inequalities of the Hermite-Hadamard Type for Strongly Quasi-convex Functions

Yi-Xuan Sun¹, Jing-Yu Wang¹ and Bai-Ni Guo^2,

¹College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, Inner Mongolia Autonomous Region, China

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

Cite this paper:
Yi-Xuan Sun, Jing-Yu Wang and Bai-Ni Guo. Some Integral Inequalities of the Hermite-Hadamard Type for Strongly Quasi-convex Functions. Turkish Journal of Analysis and Number Theory. 2016; 4(5):132-134. doi: 10.12691/tjant-4-5-2

Abstract

In the paper, the authors introduce a new notion “strongly quasi-convex function”, establish an integral identity for strongly quasi-convex functions, and establish some new integral inequalities of the Hermite-Hadamard type for strongly quasi-convex functions.

Keywords:
integral identity integral inequality Hermite-Hadamard type strongly quasi-convex function Hölder inequality

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