Author:
Butt Saad Ihsan,Kashuri Artion,Nadeem Muhammad,Aslam Adnan,Gao Wei
Abstract
AbstractThe aim of this study is to introduce the notion of two-dimensional approximately harmonic $(p_{1},h_{1})$
(
p
1
,
h
1
)
-$(p_{2},h_{2})$
(
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
1
,
h
1
)
-$(p_{2},h_{2})$
(
p
2
,
h
2
)
-convex functions. We discuss in detail the special cases that can be deduced from the main results of the paper.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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