Inequalities for a Unified Integral Operator for Strongly    α , m   -Convex Function and Related Results in Fractional Calculus | Zendy

Chahn Yong Jung | Zendy; Ghulam Farid | Zendy; Kahkashan Mahreen | Zendy; Soo Hak Shim | Zendy

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Inequalities for a Unified Integral Operator for Strongly

(α, m)

-Convex Function and Related Results in Fractional Calculus

Author(s) -

Chahn Yong Jung,

Ghulam Farid,

Kahkashan Mahreen,

Soo Hak Shim

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6610836

Subject(s) - convex function , mathematics , operator (biology) , regular polygon , function (biology) , combinatorics , pure mathematics , geometry , repressor , evolutionary biology , biology , transcription factor , gene , biochemistry , chemistry

In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α , m -convex functions. A new definition of function, namely, strongly α , m -convex function is applied in different forms and an extended Mittag-Leffler function is utilized to get the required results. Moreover, the obtained results in special cases give refinements of fractional integral inequalities published in this decade.

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