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

Authors
Farid, GhulamAndric, MajaSaddiqa, MaryamPecaric, JosipJung, Chahn Yong
Issue Date
Sep-2020
Publisher
PO BOX 2604, SPRINGFIELD, USA, MO, 65801-2604
Keywords
convex function; strongly convex function; Mittag-Leffler function; generalized fractionl integrals
Citation
AIMS MATHEMATICS, v.5, no.6, pp 7332 - 7349
Pages
18
Indexed
SCIE
SCOPUS
Journal Title
AIMS MATHEMATICS
Volume
5
Number
6
Start Page
7332
End Page
7349
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/72021
DOI
10.3934/math.2020469
ISSN
2473-6988
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.
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