Difference sequence spaces
In [1] Sr(Δ):={x=(xk):(kr|Δxk|)k=1∞∈c0} for r≥1 is studied. In this paper, we generalize this space to Sr(p,Δ) for a sequence of strictly positive reals. We give a characterization of the matrix classes (Sr(p,Δ),ℓ∞) and (Sr(p,Δ),ℓ1).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000970 |
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| _version_ | 1832562025045164032 |
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| author | A. K. Gaur Mursaleen |
| author_facet | A. K. Gaur Mursaleen |
| author_sort | A. K. Gaur |
| collection | DOAJ |
| description | In [1]
Sr(Δ):={x=(xk):(kr|Δxk|)k=1∞∈c0}
for r≥1 is studied. In this paper, we generalize this space to Sr(p,Δ)
for a sequence of strictly positive
reals. We give a characterization of the matrix classes
(Sr(p,Δ),ℓ∞) and (Sr(p,Δ),ℓ1). |
| format | Article |
| id | doaj-art-0210082ec22f415aad2eaf3e7179b4b8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0210082ec22f415aad2eaf3e7179b4b82025-02-03T01:23:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121470170610.1155/S0161171298000970Difference sequence spacesA. K. Gaur0Mursaleen1Department of Mathematics, Duquesne University, Pittsburgh, PA 15282, USADepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaIn [1] Sr(Δ):={x=(xk):(kr|Δxk|)k=1∞∈c0} for r≥1 is studied. In this paper, we generalize this space to Sr(p,Δ) for a sequence of strictly positive reals. We give a characterization of the matrix classes (Sr(p,Δ),ℓ∞) and (Sr(p,Δ),ℓ1).http://dx.doi.org/10.1155/S0161171298000970Difference sequence spacesKöthe-Toeplitz dualsmatrix transformations. |
| spellingShingle | A. K. Gaur Mursaleen Difference sequence spaces International Journal of Mathematics and Mathematical Sciences Difference sequence spaces Köthe-Toeplitz duals matrix transformations. |
| title | Difference sequence spaces |
| title_full | Difference sequence spaces |
| title_fullStr | Difference sequence spaces |
| title_full_unstemmed | Difference sequence spaces |
| title_short | Difference sequence spaces |
| title_sort | difference sequence spaces |
| topic | Difference sequence spaces Köthe-Toeplitz duals matrix transformations. |
| url | http://dx.doi.org/10.1155/S0161171298000970 |
| work_keys_str_mv | AT akgaur differencesequencespaces AT mursaleen differencesequencespaces |