Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(3): 707-716

Printed May 31, 2015

https://doi.org/10.4134/BKMS.2015.52.3.707

Copyright © The Korean Mathematical Society.

Generalization of inequalities analogous to Hermite--Hadamard inequality via fractional integrals

Muhammad Iqbal, Muhammad Iqbal Bhatti, and Kiran Nazeer

University of Engineering and Technology, University of Engineering and Technology, University of Engineering and Technology

Abstract

Some Hermite--Hadamard type inequalities for the fractional integrals are established and these results have some relationship with the obtained results of \cite{J11, J12}.

Keywords: Hermite--Hadamard's inequality, convex functions, power-mean inequality, Riemann-Liouville fractional integration

MSC numbers: 26A15, 26A51, 26D10