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

Authors :
Ghulam Farid
Atiq Ur Rehman
Sidra Bibi
Chahn Yong Jung
Shin Min Kang
Source :
AIMS Mathematics, Vol 6, Iss 1, Pp 882-892 (2021)
Publication Year :
2021
Publisher :
American Institute of Mathematical Sciences (AIMS), 2021.

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.

Details

ISSN :
24736988
Volume :
6
Database :
OpenAIRE
Journal :
AIMS Mathematics
Accession number :
edsair.doi.dedup.....65d09158f7e35f555190a75c391b252b