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Hermite-Hadamard inequality for fractional integrals of Caputo-Fabrizio type and related inequalities

Authors :
Mustafa Gürbüz
Ahmet Ocak Akdemir
Erhan Set
Saima Rashid
Belirlenecek
Source :
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-10 (2020)
Publication Year :
2020
Publisher :
Springer, 2020.

Abstract

In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for convex functions is proved for fractional order integrals. Also, some applications of our main findings are given.

Details

Language :
English
Database :
OpenAIRE
Journal :
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-10 (2020)
Accession number :
edsair.doi.dedup.....f3768a86669d691b7f022b01854da045