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Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale Analysis

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Listed:
  • Taher S. Hassan

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
    Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • 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
    Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, 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)

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.

Suggested Citation

  • Taher S. Hassan & Wafy M. Hasan & Ioan-Lucian Popa & Mouataz Billah Mesmouli & Akbar Ali & Haytham M. Rezk, 2025. "Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale Analysis," Mathematics, MDPI, vol. 13(13), pages 1-16, July.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:13:p:2176-:d:1694133
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