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<i>k</i>-fractional integral inequalities of Hadamard type for exponentially (<i>s</i>, <i>m</i>)-convex functionsopen access

Authors
Rehman, Atiq UrFarid, GhulamBibi, SidraJung, Chahn YongKang, Shin Min
Issue Date
Jan-2021
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Keywords
convex functions; Hadamard inequality; Riemann-Liouville fractional integral operators
Citation
AIMS MATHEMATICS, v.6, no.1, pp 882 - 892
Pages
11
Indexed
SCIE
SCOPUS
Journal Title
AIMS MATHEMATICS
Volume
6
Number
1
Start Page
882
End Page
892
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/72767
DOI
10.3934/math.2021052
ISSN
2473-6988
2473-6988
Abstract
The aim of this article is to present fractional versions of the Hadamard type inequalities for exponentially (s, m)-convex functions via k-analogue of Riemann-Liouville fractional integrals. The results provide generalizations of various known fractional integral inequalities. Some special cases are analyzed in the form of corollaries and remarks.
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