Some New Hermite-Hadamard Type Inequalities Pertaining to Fractional Integrals with an Exponential Kernel for Subadditive Functions-Reference-Cited by-同舟云学术

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

Published:2023-03-18 Issue:3 Volume:15 Page:748
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Kashuri Artion¹^ORCID,Sahoo Soubhagya Kumar²^ORCID,Mohammed Pshtiwan Othman³^ORCID,Al-Sarairah Eman⁴⁵^ORCID,Hamed Y. S.⁶^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Technical and Natural Sciences, University “Ismail Qemali”, 9400 Vlora, Albania

2. Department of Mathematics, C.V. Raman Global University, Bhubaneswar 752054, India

3. Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Iraq

4. Department of Mathematics, Khalifa University, Abu Dhabi P.O. Box 127788, United Arab Emirates

5. Department of Mathematics, Al-Hussein Bin Talal University, P.O. Box 20, Ma’an 71111, Jordan

6. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/3/748/pdf

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