Some Dynamic Inequalities of Hilbert’s Type

A. M. Ahmed, Ghada AlNemer, Mohammed Zakarya, Haytham M. Rezk

Type: Article

Publication Date: 2020-03-30

Citations: 22

DOI: https://doi.org/10.1155/2020/4976050

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.

Locations

Journal of Function Spaces - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View

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