Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods
We prove the necessary and sufficient conditions for an infinity matrix to be a mapping, from absolutely convergent series to convergent sequences, which is treated as general weighted mean summability methods. The results include a classical result by Hardy and another by Moricz and Rhoades as part...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200003732 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849469192360689664 |
|---|---|
| author | Jinlu Li |
| author_facet | Jinlu Li |
| author_sort | Jinlu Li |
| collection | DOAJ |
| description | We prove the necessary and sufficient conditions for an infinity
matrix to be a mapping, from absolutely convergent series to
convergent sequences, which is treated as general weighted mean
summability methods. The results include a classical result by
Hardy and another by Moricz and Rhoades as particular cases. |
| format | Article |
| id | doaj-art-fb9b6ee9619a408e86766b60a7dfa074 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fb9b6ee9619a408e86766b60a7dfa0742025-08-20T03:25:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124853353810.1155/S0161171200003732Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methodsJinlu Li0Department of Mathematics, Shawnee State University, Portsmouth 45662, Ohio, USAWe prove the necessary and sufficient conditions for an infinity matrix to be a mapping, from absolutely convergent series to convergent sequences, which is treated as general weighted mean summability methods. The results include a classical result by Hardy and another by Moricz and Rhoades as particular cases.http://dx.doi.org/10.1155/S0161171200003732Weighted mean matrixmatrix transformation. |
| spellingShingle | Jinlu Li Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods International Journal of Mathematics and Mathematical Sciences Weighted mean matrix matrix transformation. |
| title | Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods |
| title_full | Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods |
| title_fullStr | Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods |
| title_full_unstemmed | Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods |
| title_short | Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods |
| title_sort | matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods |
| topic | Weighted mean matrix matrix transformation. |
| url | http://dx.doi.org/10.1155/S0161171200003732 |
| work_keys_str_mv | AT jinluli matrixtransformationsfromabsolutelyconvergentseriestoconvergentsequencesasgeneralweightedmeansummabilitymethods |