A variant of Jensen-type inequality and related results for harmonic convex functions

Imran Abbas Baloch; Aqeel Ahmad Mughal; Yu-Ming Chu; Absar Ul Haq; Manuel De La Sen

doi:10.3934/math.2020412

AIMS Mathematics (Aug 2020)

A variant of Jensen-type inequality and related results for harmonic convex functions

Imran Abbas Baloch,
Aqeel Ahmad Mughal,
Yu-Ming Chu,
Absar Ul Haq,
Manuel De La Sen

Affiliations

Imran Abbas Baloch: 1 Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan 2 Higher Education Department, Government College for Boys Gulberg Lahore, Punjab, Pakistan
Aqeel Ahmad Mughal: 3 Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan
Yu-Ming Chu: 3 Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan
Absar Ul Haq: 6 Department of Basic Sciences and Humanities, University of Engineering and Technology, Lahore (Narowal Campus), Pakistan
Manuel De La Sen: 7 Institute of Research and Development of Processors, University of the Basque, Country campus of Leioa (Bizkaia), 48940 Leioa, Spain

DOI: https://doi.org/10.3934/math.2020412
Journal volume & issue: Vol. 5, no. 6
pp. 6404 – 6418

Abstract

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In this article, we present a variant of discrete Jensen-type inequality for harmonic convex functions and establish a Jensen-type inequality for harmonic h-convex functions. Furthermore, we found a variant of Jensen-type inequality for harmonic h-convex functions.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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