Some Hermite-Hadamard type inequalities for harmonically extended \(s\)-convex functions

Volume 10, Issue 7, pp 4025--4033 http://dx.doi.org/10.22436/jnsa.010.07.51

Publication Date: July 27, 2017 Submission Date: June 11, 2017

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Authors

Chun-Long Li - College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, 028043, China. Shan-He Wu - Department of Mathematics, Longyan University, Longyan, Fujian 364012, China.

Abstract

In this paper, we establish some inequalities of Hermite-Hadamard type for functions whose derivatives absolute values are harmonically extended s-convex functions.

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Keywords

• Harmonically extended s-convex function
• Hermite-Hadamard type inequalities
• integral inequalities.

MSC

•  26A51
•  26D15
•  41A55

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