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Some unified bounds for exponentially $tgs$-convex functions governed by conformable fractional operators

Authors :
Yu-Ming Chu
Muhammad Aslam Noor
Saima Rashid
Hu Ge-JiLe
Arshiya Suhail
Source :
AIMS Mathematics, Vol 5, Iss 6, Pp 6108-6123 (2020)
Publication Year :
2020
Publisher :
AIMS Press, 2020.

Abstract

In the article, we introduce the concept of the exponentially $tgs$-convex function and discover two new conformable fractional integral identities concerning the first-order differentiable convex mappings. By using these identities, we establish several new right-sided Hermite-Hadamard type inequalities for the exponentially $tgs$-convex functions via conformable fractional integrals. Our outcomes for conformable fractional integral operators are also applied to some special means.

Details

Language :
English
ISSN :
24736988
Volume :
5
Issue :
6
Database :
OpenAIRE
Journal :
AIMS Mathematics
Accession number :
edsair.doi.dedup.....e65e8ba3c284f156f135c5dbb16f64b0
Full Text :
https://doi.org/10.3934/math.2020392/fulltext.html