Petrović-Type Inequalities for Harmonic h-convex Functions-Reference-Cited by-同舟云学术

Petrović-Type Inequalities for Harmonic h-convex Functions

Published:2020-01-08 Issue: Volume:2020 Page:1-7
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Abbas Baloch Imran¹²^ORCID,Chu Yu-Ming³⁴^ORCID

Affiliation:

1. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan

2. Department of Higher Education, Goverment College for Boys Gulberg, Punjab, Pakistan

3. Department of Mathematics, Huzhou University, Huzhou 313000, China

4. School of Mathematics and Statistics, Changsha University of Science & Technology, Changsha 410114, China

Abstract

In the article, we establish several Petrović-type inequalities for the harmonic h-convex (concave) function if h is a submultiplicative (super-multiplicative) function, provide some new majorizaton type inequalities for harmonic convex function, and prove the superadditivity, subadditivity, linearity, and monotonicity properties for the functionals derived from the Petrović type inequalities.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/3075390.pdf

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