Integral inequalities of extended Simpson type for ($\alpha,m$)-varepsilon-convex functions

Volume 10, Issue 1, pp 122--129 Publication Date: January 26, 2017
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Authors

Jun Zhang - College of Computer Science and Technology, Jilin University, Changchun 130012, China.
Zhi-Li Pei - College of Computer Science and Technology, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, 028043, China.
Gao-Chao Xu - College of Computer Science and Technology, Jilin University, Changchun 130012, China.
Xiao-Hui Zou - College of Computer Science and Technology, Jilin University, Changchun 130012, China.
Feng Qi - Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China.

Abstract

In the paper, the authors establish some integral inequalities of extended Simpson type for $(\alpha,m)-\varepsilon$-convex functions.

Keywords

• Integral inequality
• extended Simpson type
• $(\alpha،m)-\varepsilon$-convex function

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