Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function

Marcela V Mihai; Muhammad Uzair Awan; Muhammad Aslam Noor; Khalida Inayat Noor

doi:10.1186/s13660-017-1543-4

Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function

J Inequal Appl. 2017;2017(1):265. doi: 10.1186/s13660-017-1543-4. Epub 2017 Oct 25.

Authors

Marcela V Mihai¹, Muhammad Uzair Awan², Muhammad Aslam Noor³, Khalida Inayat Noor³

Affiliations

¹ Department Scientific-Methodical Sessions, Romanian Mathematical Society-branch Bucharest, Academy Street no. 14, Bucharest, RO-010014 Romania.
² Department of Mathematics, GC University, Faisalabad, Pakistan.
³ Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.

Abstract

The objective of this paper is to establish some new refinements of fractional Hermite-Hadamard inequalities via a harmonically convex function with a kernel containing the generalized Mittag-Leffler function.

Keywords: Hermite-Hadamard inequalities; Mittag-Leffler function; harmonic convex function.