On Generalized Strongly Convex Functions and Unified Integral Operators | Zendy

Ti-Ming Yu | Zendy; Ghulam Farid | Zendy; Kahkashan Mahreen | Zendy; Chahn Yong Jung | Zendy; Soo Hak Shim | Zendy

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On Generalized Strongly Convex Functions and Unified Integral Operators

Author(s) -

Ti-Ming Yu,

Ghulam Farid,

Kahkashan Mahreen,

Chahn Yong Jung,

Soo Hak Shim

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6695781

Subject(s) - mathematics , convex function , operator (biology) , regular polygon , pure mathematics , function (biology) , exponential integral , mathematical analysis , integral equation , line integral , geometry , biochemistry , chemistry , repressor , evolutionary biology , biology , transcription factor , gene

In this paper, we define a strongly exponentially α , h − m -convex function that generates several kinds of strongly convex and convex functions. The left and right unified integral operators of these functions satisfy some integral inequalities which are directly related to many unified and fractional integral inequalities. From the results of this paper, one can obtain various fractional integral operator inequalities that already exist in the literature.

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