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

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 functi...

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Bibliographic Details
Main Authors: Chahn Yong Jung, Ghulam Farid, Kahkashan Mahreen, Soo Hak Shim
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/6610836
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Summary: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.
ISSN:2314-8896
2314-8888