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

Authors :
Artion Kashuri
Soubhagya Kumar Sahoo
Pshtiwan Othman Mohammed
Eman Al-Sarairah
Y. S. Hamed
Source :
Symmetry, Vol 15, Iss 3, p 748 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 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.

Details

Language :
English
ISSN :
20738994
Volume :
15
Issue :
3
Database :
Directory of Open Access Journals
Journal :
Symmetry
Publication Type :
Academic Journal
Accession number :
edsdoj.873e22817b0a48dc9191a29438730d9e
Document Type :
article
Full Text :
https://doi.org/10.3390/sym15030748