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Some New Hermite-Hadamard Type Inequalities Pertaining to Fractional Integrals with an Exponential Kernel for Subadditive Functions.

Authors :
Kashuri, Artion
Sahoo, Soubhagya Kumar
Mohammed, Pshtiwan Othman
Al-Sarairah, Eman
Hamed, Y. S.
Source :
Symmetry (20738994). Mar2023, Vol. 15 Issue 3, p748. 15p.
Publication Year :
2023

Abstract

The class of symmetric function interacts extensively with other types of functions. One of these is the class of convex functions, which is closely related to the theory of symmetry. In this paper, we obtain some new fractional Hermite–Hadamard inequalities with an exponential kernel for subadditive functions and for their product, and some known results are recaptured. Moreover, using a new identity as an auxiliary result, we deduce several inequalities for subadditive functions pertaining to the new fractional integrals involving an exponential kernel. To validate the accuracy of our results, we offer some examples for suitable choices of subadditive functions and their graphical representations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
15
Issue :
3
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
162834560
Full Text :
https://doi.org/10.3390/sym15030748