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Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals

In this paper, the Nörlund–Orlicz difference sequence space Nt(F,Δmn,u,q) of nonabsolute type is introduced as a domain of Nörlund means which is isomorphic to the space ℓ(p) and the basis of the space is constructed. Additionally, the α−, β−, and γ-duals of the spaces are computed and their matrix...

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Main Authors: Kilicman, Adem, Raj, Kuldip
Format: Article
Language:English
Published: SpringerOpen 2020
Online Access:http://psasir.upm.edu.my/id/eprint/38096/1/38096.pdf
http://psasir.upm.edu.my/id/eprint/38096/
https://link.springer.com/article/10.1186/s13662-020-02567-3
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spelling my.upm.eprints.380962020-04-14T14:01:41Z http://psasir.upm.edu.my/id/eprint/38096/ Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals Kilicman, Adem Raj, Kuldip In this paper, the Nörlund–Orlicz difference sequence space Nt(F,Δmn,u,q) of nonabsolute type is introduced as a domain of Nörlund means which is isomorphic to the space ℓ(p) and the basis of the space is constructed. Additionally, the α−, β−, and γ-duals of the spaces are computed and their matrix transformations are given. Finally, the properties like rotundity, modularity of the newly formed spaces are established. SpringerOpen 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38096/1/38096.pdf Kilicman, Adem and Raj, Kuldip (2020) Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals. Advances in Difference Equations, 2020. art. no. 110. pp. 1-16. ISSN 1687-1839; ESSN: 1687-1847 https://link.springer.com/article/10.1186/s13662-020-02567-3 10.1186/s13662-020-02567-3
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In this paper, the Nörlund–Orlicz difference sequence space Nt(F,Δmn,u,q) of nonabsolute type is introduced as a domain of Nörlund means which is isomorphic to the space ℓ(p) and the basis of the space is constructed. Additionally, the α−, β−, and γ-duals of the spaces are computed and their matrix transformations are given. Finally, the properties like rotundity, modularity of the newly formed spaces are established.
format Article
author Kilicman, Adem
Raj, Kuldip
spellingShingle Kilicman, Adem
Raj, Kuldip
Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals
author_facet Kilicman, Adem
Raj, Kuldip
author_sort Kilicman, Adem
title Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals
title_short Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals
title_full Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals
title_fullStr Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals
title_full_unstemmed Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals
title_sort matrix transformations of norlund–orlicz difference sequence spaces of nonabsolute type and their toeplitz duals
publisher SpringerOpen
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/38096/1/38096.pdf
http://psasir.upm.edu.my/id/eprint/38096/
https://link.springer.com/article/10.1186/s13662-020-02567-3
_version_ 1665895953129799680
score 13.211869

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