k$-fractional integral inequalities of Hadamard type for exponentially $(s, m)$-convex functions

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 case...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 1; pp. 882 - 892
Main Authors Rehman, Atiq Ur, Farid, Ghulam, Bibi, Sidra, Jung, Chahn Yong, Kang, Shin Min
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
convex functions
hadamard inequality
riemann-liouville fractional integral operators
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021052