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381188

Difference sequence spaces derived by using generalized means

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Last updated: 05 Jan 2025

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Abstract

This paper deals with new sequence spaces Xðr;s; t;DÞ for X 2 fl1; c; c0g defined by using
generalized means and difference operator. It is shown that these spaces are complete normed linear
spaces and the spaces Xðr;s;t; DÞ for X 2 fc; c0g have Schauder basis. Furthermore, the a-, b-, c-duals
of these sequence spaces are computed and also established necessary and sufficient conditions for
matrix transformations from Xðr;s; t;DÞ to X.

DOI

10.1016/j.joems.2014.02.010

Keywords

Sequence spaces, Schauder basis, Difference operator, Generalized means, a-, b-, c-duals, Matrix transformations

Authors

First Name

Atanu

Last Name

Manna

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Affiliation

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

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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

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-23

Publish Date

2015-04-01

Page Start

127

Page End

133

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 127-133.pdf

PDF . 508.9kB

Link

https://joems.journals.ekb.eg/article_381188.html

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https://joems.journals.ekb.eg/service?article_code=381188

Order

381,188

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

Difference sequence spaces derived by using generalized means

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Article

Created At

21 Dec 2024