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Jensen-Mercer variant of Hermite-Hadamard type inequalities via Atangana-Baleanu fractional operator

Authors :
Adnan Aslam
Jamshed Nasir
Saad Ihsan Butt
Asfand Fahad
Jarunee Soontharanon
Jia-Bao Liu
Source :
AIMS Mathematics, Vol 7, Iss 2, Pp 2123-2141 (2022)
Publication Year :
2022
Publisher :
American Institute of Mathematical Sciences (AIMS), 2022.

Abstract

We present new Mercer variants of Hermite-Hadamard (HH) type inequalities via Atangana-Baleanu (AB) fractional integral operators pertaining non-local and non-singular kernels. We establish trapezoidal type identities for fractional operator involving non-singular kernel and give Jensen-Mercer (JM) variants of Hermite-Hadamard type inequalities for differentiable mapping $ \Upsilon $ possessing convex absolute derivatives. We establish connections of our results with several renowned results in the literature and also give applications to special functions.

Details

ISSN :
24736988
Volume :
7
Database :
OpenAIRE
Journal :
AIMS Mathematics
Accession number :
edsair.doi.dedup.....349f375b53adfce91155720bb798127a
Full Text :
https://doi.org/10.3934/math.2022121