Z. Liu, “On inequalities of Hermite–Hadamard type involving an <nobr>$s$</nobr>-convex function with applications”, Probl. Anal. Issues Anal., 2016, Volume 5(23), Issue 1,Pages <nobr>3

On inequalities of Hermite–Hadamard type involving an $s$-convex function with applications

Z. Liu^ab

^a University of Science and Technology Liaoning, Institute of Applied Mathematics, School of Science, Anshan 114051, Liaoning, China
^b Room 2004, 4 Lane 123, Guiping Road, Shanghai 200233, China

Abstract: Motivated by a recent paper, the author provides some new integral inequalities of Hermite–Hadamard type involving the product of an $s$-convex function and a symmetric function and applies these new established inequalities to construct inequalities for special means.

Keywords: Hermite–Hadamard's integral inequality; $s$-convex function; symmetric function; Hölder inequality; mean.

UDC: 517.51, 517.38

MSC: 26D15

Received: 27.03.2016
Revised: 22.06.2016
Accepted: 15.06.2016

Language: English

DOI: 10.15393/j3.art.2016.3070