Integral Inequalities of Hermite–Hadamard Type for Extended s -Convex Functions and Applications

Ye Shuang and Feng Qi
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Ye Shuang: College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, Inner Mongolia 028043, China
Feng Qi: Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China

Mathematics, 2018, vol. 6, issue 11, 1-12

Abstract: In the paper, the authors set up an identity for a function whose third derivative is integrable, establish by the Hölder inequality some new integral inequalities of the Hermite–Hadamard type for extended s -convex functions in the second sense, and apply these integral inequalities to construct inequalities for several special means.

Keywords: extended s -convex function in the second sense; Hermite–Hadamard type inequality; Hölder inequality; mean (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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