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Refinement and corrigendum of bounds of fractional integral operators containing Mittag-Leffler functions

Authors :
Ghulam Farid
Maja Andrić
Maryam Saddiqa
Josip Pečarić
Chahn Yong Jung
Source :
AIMS Mathematics, Vol 5, Iss 6, Pp 7332-7349 (2020)
Publication Year :
2020
Publisher :
AIMS Press, 2020.

Abstract

The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels. The presented results also provide refinements of already known bounds of different fractional integral operators for convex, m-convex, s-convex and (s, m)-convex functions. Moreover, the refinements of some known fractional versions of the Hadamard inequality are given.

Details

Language :
English
ISSN :
24736988
Volume :
5
Issue :
6
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.7a3e5e15ba049a49213c8cb033c4fc2
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2020469/fulltext.html