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

Volume 10, Issue 1, pp 122--129 http://dx.doi.org/10.22436/jnsa.010.01.12

Publication Date: January 26, 2017 Submission Date: October 23, 2016

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Authors

Jun Zhang - College of Computer Science and Technology, Jilin University, Changchun 130012, China. - College of Computer Science and Technology, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, 028043, 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 - Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300160, China. - 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.

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Keywords

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

MSC

•  26A51
•  26D15
•  41A55

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