Certain midpoint-type Fejér and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel

Certain midpoint-type Fejér and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel

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In this paper, using positive symmetric functions, we offer two new important identities of fractional integral form for convex and harmonically convex functions. We then prove new variants of the Hermite-Hadamard-Fejér type inequalities for convex as well as harmonically convex functions via fracti...

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Bibliographic Details
Main Authors: Thongchai Botmart, Soubhagya Kumar Sahoo, Bibhakar Kodamasingh, Muhammad Amer Latif, Fahd Jarad, Artion Kashuri
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
hermite-hadamard-fejér inequalities
convex function
harmonically convex function
fractional integral operators
matrices
q-digamma functions
modifed bessel functions
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023283?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023283?viewType=HTML

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