A New Outlook for Almost Convergent Sequence Spaces

Murat Candan

doi:10.17776/csj.383311

EN TR

A New Outlook for Almost Convergent Sequence Spaces

Abstract

The point standing out in the present paper is the sequence spaces , and produced by the domain of the infinite matrix , which is defined in the previous study of Candan [2], where the spaces , and , respectively, are as presented by G.G. Lorentz utilizing the issue of the Banach limits (Acta. Math. 80. 1948, 167-190), andis the double sequential band matrix and G is the generalized weighted mean. Firstly, it is shown that aforementioned spaces are linearly isomorhic to the spaces , and , respectively. In addition to these, andduals of the spaces and are given. Beyond them, the classes and of infinite matrices are characterized, where is a given sequence space.

Keywords

Almost convergence,Generalized weigheted mean,Sequence space,,Matrix transformations

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Murat Candan ^*
Türkiye

Publication Date

March 16, 2018

Submission Date

January 24, 2018

Acceptance Date

February 27, 2018

Published in Issue

Year 2018 Volume: 39 Number: 1

DOI

https://doi.org/10.17776/csj.383311

IZ

https://izlik.org/JA37DF53KJ

APA

Candan, M. (2018). A New Outlook for Almost Convergent Sequence Spaces. Cumhuriyet Science Journal, 39(1), 34-46. https://doi.org/10.17776/csj.383311

AMA

1.Candan M. A New Outlook for Almost Convergent Sequence Spaces. CSJ. 2018;39(1):34-46. doi:10.17776/csj.383311

Chicago

Candan, Murat. 2018. “A New Outlook for Almost Convergent Sequence Spaces”. Cumhuriyet Science Journal 39 (1): 34-46. https://doi.org/10.17776/csj.383311.

EndNote

Candan M (March 1, 2018) A New Outlook for Almost Convergent Sequence Spaces. Cumhuriyet Science Journal 39 1 34–46.

IEEE

[1]M. Candan, “A New Outlook for Almost Convergent Sequence Spaces”, CSJ, vol. 39, no. 1, pp. 34–46, Mar. 2018, doi: 10.17776/csj.383311.

ISNAD

Candan, Murat. “A New Outlook for Almost Convergent Sequence Spaces”. Cumhuriyet Science Journal 39/1 (March 1, 2018): 34-46. https://doi.org/10.17776/csj.383311.

JAMA

1.Candan M. A New Outlook for Almost Convergent Sequence Spaces. CSJ. 2018;39:34–46.

MLA

Candan, Murat. “A New Outlook for Almost Convergent Sequence Spaces”. Cumhuriyet Science Journal, vol. 39, no. 1, Mar. 2018, pp. 34-46, doi:10.17776/csj.383311.

Vancouver

1.Murat Candan. A New Outlook for Almost Convergent Sequence Spaces. CSJ. 2018 Mar. 1;39(1):34-46. doi:10.17776/csj.383311

Cited By

On A New Almost Convergent Sequence Space Defined By The Matrix ∆_u^λ

Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi

https://doi.org/10.17714/gumusfenbil.639476

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

A New Outlook for Almost Convergent Sequence Spaces

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Hemen Hemen Yakınsak Dizi Uzaylar için Yeni Bir Bakış

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On A New Almost Convergent Sequence Space Defined By The Matrix ∆_u^λ