Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale Analysis

Taher S. Hassan, Wafy M. Hasan, Ioan-Lucian Popa (), Mouataz Billah Mesmouli, Akbar Ali and Haytham M. Rezk
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Taher S. Hassan: Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Wafy M. Hasan: Department of Basic Sciences, Faculty of Engineering Technology, El Sewedy University of Technology, Cairo 44916, Egypt
Ioan-Lucian Popa: Department of Computing, Mathematics and Electronics, 1 Decembrie 1918 University of Alba Iulia, 510009 Alba Iulia, Romania
Mouataz Billah Mesmouli: Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Akbar Ali: Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Haytham M. Rezk: Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo 11884, Egypt

Mathematics, 2025, vol. 13, issue 13, 1-16

Abstract: This study demonstrates several novel dynamic inequalities of the Hardy and Littlewood types on time scales. As special cases, our studies include Hardy’s integral inequalities and Hardy and Littlewood’s discrete inequalities. The research findings are demonstrated using algebraic inequalities, Hölder’s inequality, and the chain rule on time scales.

Keywords: time scales; dynamic inequality; Hardy–Littlewood inequalities; Hardy’s inequalities; Hölder’s inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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