M. Rostamian Delavar, S. S. Dragomir, M. De La Sen, “A note on characterization of <nobr>$h$</nobr>-convex functions via Hermite–Hadamard type inequality”, Probl. Anal. Issues Anal., 2019, Volume 8(26), Issue 2,Pages <nobr>28

This article is cited in 2 papers

A note on characterization of $h$-convex functions via Hermite–Hadamard type inequality

M. Rostamian Delavar^a, S. S. Dragomir^b, M. De La Sen^c

^a Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran
^b College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia
^c Institute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia) - Aptdo. 644 - Bilbao, Bilbao, 48080, Spain

Abstract: A characterization of $h$-convex function via Hermite–Hadamard inequality related to the $h$-convex functions is investigated. In fact it is determined that under what conditions a function is $h$-convex, if it satisfies the $h$-convex version of Hermite–Hadamard inequality.

Keywords: $h$-convex function, Hermite–Hadamard inequality.

UDC: 517.51

MSC: 26A51, 26D15, 52A01

Received: 18.12.2018
Revised: 11.03.2019
Accepted: 12.03.2019

Language: English

DOI: 10.15393/j3.art.2019.5790