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

Autor: Yonghong Liu, Ghulam Farid, Dina Abuzaid, Hafsa Yasmeen
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 10, Pp 19167-19179 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20221052?viewType=HTML
Popis: 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 (α,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.
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