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386340

On sequence ideal using Orlicz function and de la Vallée Poussin mean

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Last updated: 05 Jan 2025

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Abstract

In this paper we have introduced a new sequence ideal using Orlicz function and the
notion of de la Valle´e Poussin mean. It is proved that the Cesa´ ro-Orlicz sequence ideal is complete
under a suitable norm. Moreover, it is shown that Cesa´ ro-Orlicz sequence ideal is maximal, and if
the Orlicz function satisfies D2-condition at zero then it is also minimal.

Keywords

Sequence ideals, Orlicz function, de la Valle´e Poussin mean

Authors

First Name

Amit

Last Name

Maji

MiddleName

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Affiliation

Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721 302, West Bengal, India

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Orcid

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First Name

P.D.

Last Name

Srivastava

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Affiliation

Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721 302, West Bengal, India

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Volume

22

Article Issue

3

Related Issue

50857

Issue Date

2014-10-01

Receive Date

2013-10-26

Publish Date

2014-10-01

Page Start

466

Page End

470

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 22_Issue 3_Pages 466-470.pdf

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https://joems.journals.ekb.eg/article_386340.html

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https://joems.journals.ekb.eg/service?article_code=386340

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386,340

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Original Article

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3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

On sequence ideal using Orlicz function and de la Vallée Poussin mean

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Article

Created At

21 Dec 2024