Inequalities of Ostrowski Type for Functions Whose Derivative Module Is Relatively Convex on Time Scales-Reference-Cited by-同舟云学术

Inequalities of Ostrowski Type for Functions Whose Derivative Module Is Relatively Convex on Time Scales

Published:2024-04-02 Issue:4 Volume:13 Page:235
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Rezk Haytham M.¹^ORCID,Saied Ahmed I.²,Ali Maha³,AlNemer Ghada⁴^ORCID,Zakarya Mohammed⁵^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Egypt

2. Department of Mathematics, Faculty of Science, Benha University, Benha 13511, Egypt

3. Department of Mathematics, College of Arts and Sciences, King Khalid University, P.O. Box 64512, Abha 62529, Sarat Ubaidah, Saudi Arabia

4. Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

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

Abstract

In this article, we discuss several novel generalized Ostrowski-type inequalities for functions whose derivative module is relatively convex in time scales calculus. Our core findings are proved by using the integration by parts technique, Hölder’s inequality, and the chain rule on time scales. These derived inequalities expand the existing literature, enriching specific integral inequalities within this domain.

Funder

King Khalid University

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/4/235/pdf

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