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415629

Some New Weighted Hardy-type Inequalities on Time Scales with Negative Exponents

Article

Last updated: 29 Mar 2025

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PURE MATHEMATICS

Abstract

In this paper, we obtain some new Hardy-type inequalities with negative exponents on time scales. These inequalities, as a special case, when the time scale and contain some new integral and discrete inequalities with negative exponents. To the best of the authors' knowledge, the findings presented in this paper are assumed to be new in literature.

DOI

10.21608/ijtar.2025.344249.1098

Keywords

Key words and phrases. Hardy-type inequalities with negative parameter, Copson-type inequalities with negative parameter, Chain rule, Reversed Hölder's inequality, Integration by parts on time scales

Authors

First Name

doaa

Last Name

Abdou

MiddleName

M.

Affiliation

Department of mathematics - faculty of science (girls branch) - al - azhar university

Email

doaaabdo@azhar.edu.eg

City

samanoud

Orcid

-

First Name

Afaf

Last Name

Zaghrout

MiddleName

s,

Affiliation

Department of Mathematics, Faculty of Science, Al-Azhar University, (girls branch) 11651, Egypt

Email

afaf211@yahoo.com

City

-

Orcid

-

First Name

Samir

Last Name

Saker

MiddleName

H.

Affiliation

Department of Mathematics, Faculty of Science, New Mansoura University, New Mansoura 7723730, Egypt

Email

shsaker@mans.edu.eg

City

-

Orcid

-

First Name

Haytham

Last Name

Rezk

MiddleName

M.

Affiliation

⁴ Department of Mathematics, Faculty of Science, Al-Azhar University 11884, Egypt

Email

haythamrezk@azhar.edu.eg

City

-

Orcid

-

Volume

3

Article Issue

2

Related Issue

50362

Issue Date

2024-12-01

Receive Date

2024-12-14

Publish Date

2024-12-01

Page Start

463

Page End

480

Print ISSN

2812-5878

Online ISSN

2812-5886

Article File

IJTAR_Volume 3_Issue 2_Pages 463-480.pdf

PDF . 383.6kB

Link

https://ijtar.journals.ekb.eg/article_415629.html

Detail API

http://journals.ekb.eg?_action=service&article_code=415629

Order

415,629

Type

Original Article

Type Code

2,366

Publication Type

Journal

Publication Title

International Journal of Theoretical and Applied Research

Publication Link

https://ijtar.journals.ekb.eg/

MainTitle

Some New Weighted Hardy-type Inequalities on Time Scales with Negative Exponents

Details

Type

Article

Created At

29 Mar 2025