New Hermite-Hadamard type inequalities for product of different convex functions involving certain fractional integral operators

Volume 18, Issue 1, pp 29--36 http://dx.doi.org/10.22436/jmcs.018.01.04

Publication Date: December 27, 2017 Submission Date: August 08, 2017

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Authors

Erhan Set - Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey Junesang Choi - Department of Mathematics, Dongguk University, Gyeongju 38066, Republic of Korea Barıs Celik - Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey

Abstract

We aim to establish new Hermite-Hadamard type inequalities for products of two different convex functions involving certain generalized fractional integral operators. The results presented here, being very general, are pointed out to be specialized to yield many new and known inequalities associated with some known fractional integral operators.

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Keywords

• Convex function
• \(s\)-convex function
• Hermite-Hadamard type inequalities
• fractional integral operators

MSC

•  26A33
•  26D10
•  26D15
•  33B15

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