On Some New Weighted Steffensen-Type Inequalities on Time Scales

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

Mathematics, 2021, vol. 9, issue 21, 1-17

Abstract: The motivation of this paper is to explore some new inequalities of Steffensen-type which were demonstrated by Pe?ari? and Kalamir in 2014. The main idea is to investigate a class of certain inequalities by employing diamond- ? 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.

Keywords: diamond-? dynamic integral; Steffensen’s inequality; dynamic inequality; time scale (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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