Properties and Bounds of Jensen-Type Functionals via Harmonic Convex Functions | Zendy

Aqeel Ahmad Mughal | Zendy; Hassan Almusawa | Zendy; Absar Ul Haq | Zendy; Imran Abbas Baloch | Zendy

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Properties and Bounds of Jensen-Type Functionals via Harmonic Convex Functions

Author(s) -

Aqeel Ahmad Mughal,

Hassan Almusawa,

Absar Ul Haq,

Imran Abbas Baloch

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5561611

Subject(s) - superadditivity , mathematics , monotonic function , type (biology) , regular polygon , jensen's inequality , convex function , subadditivity , harmonic function , pure mathematics , harmonic , function (biology) , convex analysis , discrete mathematics , convex optimization , mathematical analysis , ecology , physics , geometry , quantum mechanics , biology , evolutionary biology

Dragomir introduced the Jensen-type inequality for harmonic convex functions (HCF) and Baloch et al. studied its different variants, such as Jensen-type inequality for harmonic h -convex functions. In this paper, we aim to establish the functional form of inequalities presented by Baloch et al. and prove the superadditivity and monotonicity properties of these functionals. Furthermore, we derive the bound for these functionals under certain conditions. Furthermore, we define more generalized functionals involving monotonic nondecreasing concave function as well as evince superadditivity and monotonicity properties of these generalized functionals.

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