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384832

On some generalizations of the Hilbert–Hardy type discrete inequalities

Article

Last updated: 05 Jan 2025

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Abstract

New Hilbert-type discrete inequalities are presented by using new techniques in proof. By
specializing the weight coefficient functions in the hypothesis and the parameters, we obtain many
special cases which include, in particular, the discrete inequality derived by Hilbert and Hardy.
Many improvements and generalizations of known results are given in this paper.

Keywords

Hilbert’s inequality, Ho¨ lder’s inequality, Hardy’s inequality, Beta and gamma functions, Weight Functions

Authors

First Name

S.A.A.

Last Name

El-Marouf

MiddleName

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Affiliation

Permanent address: Department of Mathematics, Faculty of Science, Minoufiya University, Shebin El-Koom, Egypt Current address: Department of Mathematics, Faculty of Science, Taibah University, Kingdom of Saudi Arabia

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Volume

22

Article Issue

3

Related Issue

50857

Issue Date

2014-10-01

Receive Date

2012-11-08

Publish Date

2014-10-01

Page Start

330

Page End

336

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_384832.html

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https://joems.journals.ekb.eg/service?article_code=384832

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384,832

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On some generalizations of the Hilbert–Hardy type discrete inequalities

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Article

Created At

21 Dec 2024