Novel Fractional Dynamic Hardy–Hilbert-Type Inequalities on Time Scales with Applications

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 22, 1-31

Abstract: The main objective of the present article is to prove some new ∇ dynamic inequalities of Hardy–Hilbert type on time scales. We present and prove very important generalized results with the help of Fenchel–Legendre transform, submultiplicative functions. We prove the ( γ , a ) -nabla conformable Hölder’s and Jensen’s inequality on time scales. We prove several inequalities due to Hardy–Hilbert inequalities on time scales. Furthermore, we introduce the continuous inequalities and discrete inequalities as special case.

Keywords: Hardy–Hilbert’s inequality; Hölder’s and Jensen’s inequality; time scale (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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