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A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales

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  • M. Zakarya
  • Ahmed I.Saied
  • Ghada AlNemer
  • H. M. Rezk
  • Guotao Wang

Abstract

This study develops the study of reverse Hilbert-type inequalities on time scales where we can establish some new generalizations of reverse Hilbert-type inequalities via supermultiplicative functions on time scales by applying reverse Hölder inequalities. The main results will be proved by using Specht’s ratio, chain rule, and Jensen’s inequality. Our results (when T=ℕ) are essentially new.

Suggested Citation

  • M. Zakarya & Ahmed I.Saied & Ghada AlNemer & H. M. Rezk & Guotao Wang, 2022. "A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales," Journal of Mathematics, Hindawi, vol. 2022, pages 1-18, July.
    • Handle: RePEc:hin:jjmath:6285367
    DOI: 10.1155/2022/6285367
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    Cited by:

    1. Haytham M. Rezk & Juan E. Nápoles Valdés & Maha Ali & Ahmed I. Saied & Mohammed Zakarya, 2023. "Delta Calculus on Time Scale Formulas That Are Similar to Hilbert-Type Inequalities," Mathematics, MDPI, vol. 12(1), pages 1-16, December.

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