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On boundedness of fractional integral operators via several kinds of convex functions
Journal article   Open access  Peer reviewed

On boundedness of fractional integral operators via several kinds of convex functions

Yonghong Liu, Ghulam Farid, Dina Abuzaid and Hafsa Yasmeen
AIMS mathematics, Vol.7(10), pp.19167-19179
01/01/2022

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
For generalizations of concepts of different fields fractional derivative operators as well as fractional integral operators are useful notions. Our aim in this paper is to discuss boundedness of the integral operators which contain Mittag-Leffler function in their kernels. The results are obtained for strongly (alpha, h - m)-convex functions which hold for different kinds of convex functions at the same time. They also give improvements/refinements of many already published results.
url
https://doi.org/10.3934/math.20221052View
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