A Study on Some New Generalizations of Reversed Dynamic Inequalities of Hilbert-Type via Supermultiplicative Functions

• Published in: Journal of function spaces Vol. 2022; pp. 1 - 12
• Main Authors: Zakarya, M., Saied, Ahmed I., ALNemer, Ghada, El-Hamid, H. A. Abd, Rezk, H. M.
• Format: Journal Article
• Language: English
• Published: New York Hindawi 2022; Hindawi Limited
• Subjects: Calculus; Inequalities
• ISSN: 2314-8896; 2314-8888
• DOI: 10.1155/2022/8720702

In this article, we establish some new generalizations of reversed dynamic inequalities of Hilbert-type via supermultiplicative functions by applying reverse Hölder inequalities with Specht’s ratio on time scales. We will generalize the inequalities by using a supermultiplicative function which the identity map represents a special case of it. Also, we use some algebraic inequalities such as the Jensen inequality and chain rule to prove the essential results in this paper. Our results (when T≪ℕ) are essentially new.