Further Fractional Hadamard Integral Inequalities Utilizing Extended Convex Functions-Reference-Cited by-同舟云学术

Further Fractional Hadamard Integral Inequalities Utilizing Extended Convex Functions

Published:2024-04-16 Issue:4 Volume:8 Page:230
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Almoneef Areej A.¹^ORCID,Barakat Mohamed A.²^ORCID,Hyder Abd-Allah³^ORCID

Affiliation:

1. Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

2. Department of Computer Science, College of Al Wajh, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

3. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

Abstract

This work investigates novel fractional Hadamard integral inequalities by utilizing extended convex functions and generalized Riemann-Liouville operators. By carefully using extended integral formulations, we not only find novel inequalities but also improve the accuracy of error bounds related to fractional Hadamard integrals. Our study broadens the applicability of these inequalities and shows that they are useful for a variety of convexity cases. Our results contribute to the advancement of mathematical analysis and provide useful information for theoretical comprehension as well as practical applications across several scientific directions.

Funder

Princess Nourah bint Abdulrahman University

King Khalid University

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/4/230/pdf

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