RUS  ENG
Full version
JOURNALS // Problemy Analiza — Issues of Analysis // Archive
Probl. Anal. Issues Anal., 2017 Volume 6(24), Issue 2, Pages 25–41 (Mi pa216)
This article is cited in 5 papers

Inequalities of Hermite–Hadamard type for $HG$-convex functions

S. S. Dragomirab

a DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa
b Mathematics, College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia

Abstract: Some inequalities of Hermite-Hadamard type for $HG$-convex functions defined on positive intervals are given. Applications for special means are also provided.

Keywords: convex functions, integral inequalities, $HG$-convex functions.

UDC: 517.51

MSC: 26D15, 25D10

Received: 19.04.2017
Revised: 11.07.2017
Accepted: 11.07.2017

Language: English

DOI: 10.15393/j3.art.2017.3790



Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024