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381179

Spaces of Ak-almost null and Ak-almost convergent sequences

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Last updated: 05 Jan 2025

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Abstract

In the present paper, by defining the notion of Ak-almost nullity and Ak-almost convergence of sequences we introduce the spaces Akðf0Þ and AkðfÞ of Ak-almost null and Ak-almost
convergent sequences. Moreover, we establish some inclusion relations concerning with those
spaces and determine the alpha-, beta- and gamma-duals of the space AkðfÞ. Finally, two basic
results on the characterization of the classes ðAkðfÞ : lÞ and ðl : AkðfÞÞ of infinite matrices are
given, and the characterizations of some other classes are also derived as an application of those
main results, where l is any given sequence space. 

DOI

10.1016/j.joems.2014.01.013

Keywords

Almost convergence, Matrix domain, Sequence space, Lambda matrix, Alpha-, beta- and gamma-duals, Matrix transformation

Authors

First Name

Medine

Last Name

Yesilkayagil

MiddleName

-

Affiliation

Department of Mathematics, Usak University, 1 Eylu¨l Campus, 64200 Usak, Turkey

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City

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Orcid

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First Name

Feyzi

Last Name

Basar

MiddleName

-

Affiliation

Department of Mathematics, Fatih University, The Hadımko¨y Campus, Bu¨yu¨kekmece, 34500 Istanbul, Turkey

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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

119

Page End

126

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 119-126.pdf

PDF . 544.8kB

Link

https://joems.journals.ekb.eg/article_381179.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381179

Order

381,179

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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

Spaces of Ak-almost null and Ak-almost convergent sequences

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Article

Created At

21 Dec 2024