On Some New Weighted Steffensen-Type Inequalities on Time Scales

Ahmed A. El-Deeb; Omar Bazighifan; Jan Awrejcewicz

doi:10.3390/math9212670

Mathematics (Oct 2021)

On Some New Weighted Steffensen-Type Inequalities on Time Scales

Ahmed A. El-Deeb,
Omar Bazighifan,
Jan Awrejcewicz

Affiliations

Ahmed A. El-Deeb: Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, Egypt
Omar Bazighifan: Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy
Jan Awrejcewicz: Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, Poland

DOI: https://doi.org/10.3390/math9212670
Journal volume & issue: Vol. 9, no. 21
p. 2670

Abstract

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The motivation of this paper is to explore some new inequalities of Steffensen-type which were demonstrated by Pečarić and Kalamir in 2014. The main idea is to investigate a class of certain inequalities by employing diamond-α dynamic integral on time scales. In addition, to obtain some new inequalities as special cases, we also extend our results to continuous and discrete calculations.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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