Novel Ostrowski–Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes-Reference-Cited by-同舟云学术

Novel Ostrowski–Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes

Published:2024-09-13 Issue:9 Volume:8 Page:534
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Almoneef Areej A.¹^ORCID,Hyder Abd-Allah²^ORCID,Barakat Mohamed A.³⁴^ORCID,Budak Hüseyin⁵^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 Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

3. Department of Computer Science, College of Al Wajh, University of Tabuk, Tabuk 71491, Saudi Arabia

4. Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut 71524, Egypt

5. Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Türkiye

Abstract

In this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized fractional integrals (FITs) are presented. We provide a useful identity for differentiable functions under FITs, which results in special expressions for functions whose derivatives have convex absolute values. A new condition for bounded variation functions is examined, as well as expansions to bounded and Lipschitzian derivatives. Our comprehension is improved by comparison with current findings, and recommendations for future study areas are given.

Funder

King Khalid University

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/9/534/pdf

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