Petrović-Type Inequalities for Harmonic h-convex Functions

Petrović-Type Inequalities for Harmonic h-convex Functions

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, lineari...

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Main Authors: Imran Abbas Baloch, Yu-Ming Chu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/3075390
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spelling doaj-bbe278d0ed5840ccbc76ebdd1b697cbb2020-11-25T02:26:54ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/30753903075390Petrović-Type Inequalities for Harmonic h-convex FunctionsImran Abbas Baloch0Yu-Ming Chu1Abdus Salam School of Mathematical Sciences, GC University, Lahore, PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaIn 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.http://dx.doi.org/10.1155/2020/3075390
collection DOAJ
language English
format Article
sources DOAJ
author Imran Abbas Baloch
Yu-Ming Chu
spellingShingle Imran Abbas Baloch
Yu-Ming Chu
Petrović-Type Inequalities for Harmonic h-convex Functions
Journal of Function Spaces
author_facet Imran Abbas Baloch
Yu-Ming Chu
author_sort Imran Abbas Baloch
title Petrović-Type Inequalities for Harmonic h-convex Functions
title_short Petrović-Type Inequalities for Harmonic h-convex Functions
title_full Petrović-Type Inequalities for Harmonic h-convex Functions
title_fullStr Petrović-Type Inequalities for Harmonic h-convex Functions
title_full_unstemmed Petrović-Type Inequalities for Harmonic h-convex Functions
title_sort petrović-type inequalities for harmonic h-convex functions
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/3075390
work_keys_str_mv AT imranabbasbaloch petrovictypeinequalitiesforharmonichconvexfunctions
AT yumingchu petrovictypeinequalitiesforharmonichconvexfunctions
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