Some Dynamic Inequalities of Hilbert's Type. (30th March 2020)

• Record Type: Journal Article
• Authors: Ahmed, A. M.; AlNemer, Ghada; Zakarya, M.; Rezk, H. M.
• Other Names: Ragusa Maria Alessandra Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-03-30
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/4976050
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder's inequality and Jensen's inequality, on time scales. As a special case of our results, we will obtain some integrals and their corresponding discrete inequalities of Hilbert's type.