Steffensen-Type Inequalities with Weighted Function via ( γ, a )-Nabla-Conformable Integral on Time Scales

Ahmed A. El-Deeb 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
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 23, 1-15

Abstract: The primary goal of this our research is to prove several new ∇-conformable dynamic Steffensen inequalities that were demonstrated in recent works. Our results generalize and extend existing results in the literature. Many special cases of the proposed results are obtained and analyzed such as new conformable fractional sum inequalities and new classical conformable fractional integral inequalities.

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