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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Vydané v:Journal of function spaces Ročník 2020; číslo 2020; s. 1 - 7
Hlavní autori: Baloch, Imran Abbas, Chu, Yu-Ming
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
John Wiley & Sons, Inc
Wiley
Predmet:
Harmonic functions
Inequalities
Linearity
ISSN:2314-8896, 2314-8888
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Shrnutí: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.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/3075390