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387151

A generalization of a half-discrete Hilbert’s inequality

Article

Last updated: 31 Dec 2024

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Abstract

Considering different parameters and by means of Hadamard's inequality, we obtain
new and more general half-discrete Hilbert-type inequalities. Then we extract from our results some
special cases that have been proved previously by other authors.

DOI

10.1016/j.joems.2015.07.004

Keywords

Hilbert inequality, Hölder inequality, Hadamard’s inequality, Beta function

Authors

First Name

Waleed

Last Name

Abuelela

MiddleName

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Affiliation

Mathematics Department, Deanery of Academic Services, Taibah University, Al-Madinah Al-Munawwarah, Saudi Arabia Nasr City 11884, Cairo, Egypt, Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt

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Volume

24

Article Issue

2

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

171

Page End

174

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_387151.html

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https://joems.journals.ekb.eg/service?article_code=387151

Order

387,151

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

A generalization of a half-discrete Hilbert’s inequality

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Article

Created At

21 Dec 2024