A variety of dynamic $ \alpha $-conformable Steffensen-type inequality on a time scale measure space-Reference-Cited by-同舟云学术

A variety of dynamic $ \alpha $-conformable Steffensen-type inequality on a time scale measure space

Published:2022 Issue:6 Volume:7 Page:11382-11398
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

El-Deeb Ahmed A.¹,Moaaz Osama²,Baleanu Dumitru³⁴⁵,Askar Sameh S.⁶

Affiliation:

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

2. Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt

3. Institute of Space Science, Magurele-Bucharest, Romania

4. Department of Mathematics, Cankaya University, Ankara 06530, Turkey

5. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

6. Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

<abstract><p>The main objective of this work is to establish several new alpha-conformable of Steffensen-type inequalities on time scales. Our results will be proved by using time scales calculus technique. We get several well-known inequalities due to Steffensen, if we take $ \alpha = 1 $. Some cases we get continuous inequalities when $ \mathbb{T} = \mathbb{R} $ and discrete inequalities when $ \mathbb{T} = \mathbb{Z} $.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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