Open Access
September 2017 Conformable fractional Hermite-Hadamard inequalities via preinvex functions
Muhammad Uzair Awan, Muhammad Aslam Noor, Marcela V. Mihai, Khalida Inayat Noor
Tbilisi Math. J. 10(4): 129-141 (September 2017). DOI: 10.1515/tmj-2017-0051

Abstract

The aim of this paper is to obtain some new refinements of Hermite-Hadamard type inequalities via conformable fractional integrals. The class of functions used for deriving the inequalities have the preinvexity property. We also discuss some special cases.

Citation

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Muhammad Uzair Awan. Muhammad Aslam Noor. Marcela V. Mihai. Khalida Inayat Noor. "Conformable fractional Hermite-Hadamard inequalities via preinvex functions." Tbilisi Math. J. 10 (4) 129 - 141, September 2017. https://doi.org/10.1515/tmj-2017-0051

Information

Received: 10 April 2016; Accepted: 6 September 2017; Published: September 2017
First available in Project Euclid: 21 April 2018

zbMATH: 1377.26023
MathSciNet: MR3731396
Digital Object Identifier: 10.1515/tmj-2017-0051

Subjects:
Primary: 26D15
Secondary: 26A33 , 26A51‎

Keywords: conformable , convex , Fractional , Hermite-Hadamard , preinvex

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

Vol.10 • No. 4 • September 2017
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