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Approximately two-dimensional harmonic (p1,h1)-(p2,h2)-convex functions and related integral inequalities.

Authors :
Butt, Saad Ihsan
Kashuri, Artion
Nadeem, Muhammad
Aslam, Adnan
Gao, Wei
Source :
Journal of Inequalities & Applications. 10/9/2020, Vol. 2020 Issue 1, p1-34. 34p.
Publication Year :
2020

Abstract

The aim of this study is to introduce the notion of two-dimensional approximately harmonic (p 1 , h 1) - (p 2 , h 2) -convex functions. We show that the new class covers many new and known extensions of harmonic convex functions. We formulate several new refinements of Hermite–Hadamard like inequalities involving two-dimensional approximately harmonic (p 1 , h 1) - (p 2 , h 2) -convex functions. We discuss in detail the special cases that can be deduced from the main results of the paper. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2020
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
146367202
Full Text :
https://doi.org/10.1186/s13660-020-02495-6