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383756

Short note on Hilbert’s inequality

Article

Last updated: 05 Jan 2025

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Abstract

Considering five different parameters, we obtain some new Hilbert-type integral inequalities
for functions f(x), g(x) in L2[0,1). Then, we extract from our results some special cases which
have been proved before.

Keywords

Hilbert inequality, Cauchy inequality, Beta function

Authors

First Name

Waleed

Last Name

Abuelela

MiddleName

-

Affiliation

Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884 Cairo, Egypt

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Volume

22

Article Issue

2

Related Issue

50700

Issue Date

2014-10-01

Receive Date

2013-02-13

Publish Date

2013-08-12

Page Start

174

Page End

176

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 22_Issue 2_Pages 174-176.pdf

PDF . 390.7kB

Link

https://joems.journals.ekb.eg/article_383756.html

Detail API

https://joems.journals.ekb.eg/service?article_code=383756

Order

383,756

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Short note on Hilbert’s inequality

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Article

Created At

21 Dec 2024