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

Authors :
Hu Ge-JiLe
Saima Rashid
Muhammad Aslam Noor
Arshiya Suhail
Yu-Ming Chu
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 :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.5a8a9d3758c44c60b0823afc4f8c28e7
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2020392/fulltext.html