On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense-Reference-Cited by-同舟云学术

On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense

Published:2023 Issue:1 Volume:8 Page:2062-2082
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

El-Khatib Mohammed S.¹,Hany Atta A. K. Abu¹,Matar Mohammed M.¹,Alqudah Manar A.²,Abdeljawad Thabet³⁴

Affiliation:

1. Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, State of Palestine

2. Department Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia

3. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia

4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>By making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality. In fact, we provide a variety of generalizations of Steffensen's integral inequality by using conformable calculus.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference22 articles.

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2. A. A. K. Abu Hany, M. Al Agha, Some extensions on Cerone's generalizations of Steffensen's inequality, Gen. Lett. Math., 3 (2017), 112–120. https://doi.org/10.31559/glm2016.3.2.4

3. A. A. K. Abu Hany, M. S. El-Khatib, K. A. K. Shourrab, Some new Hilbert type fractional inequalities, J. Nat. Stud., 27 (2019), 44–52.

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5. J. F. Steffensen, On certain inequalities between mean values, and their application to actuarial problems, Scand. Actuar. J., 1918 (1918), 82–97. https://doi.org/10.1080/03461238.1918.10405302

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