Analogues of some Tauberian theorems for stretchings
We investigate the effect of four-dimensional matrix transformation on new classes of double sequences. Stretchings of a double sequence is defined, and this definition is used to present a four-dimensional analogue of D. Dawson's copy theorem for stretching of a double sequence. In addition, t...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201003933 |
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| _version_ | 1832566762174939136 |
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| author | Richard F. Patterson |
| author_facet | Richard F. Patterson |
| author_sort | Richard F. Patterson |
| collection | DOAJ |
| description | We investigate the effect of four-dimensional matrix transformation on new classes of double sequences. Stretchings of a double sequence is defined, and this definition is used to
present a four-dimensional analogue of D. Dawson's copy theorem for stretching of a double sequence. In addition, the multidimensional analogue of D. Dawson's copy theorem is used to
characterize convergent double sequences using stretchings. |
| format | Article |
| id | doaj-art-6a26db0fc5cb4dc7a86daa7def848029 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6a26db0fc5cb4dc7a86daa7def8480292025-02-03T01:03:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-012729910910.1155/S0161171201003933Analogues of some Tauberian theorems for stretchingsRichard F. Patterson0Department of Mathematics and Statistics, University of North Florida, Building 11, Jacksonville 32224, FL, USAWe investigate the effect of four-dimensional matrix transformation on new classes of double sequences. Stretchings of a double sequence is defined, and this definition is used to present a four-dimensional analogue of D. Dawson's copy theorem for stretching of a double sequence. In addition, the multidimensional analogue of D. Dawson's copy theorem is used to characterize convergent double sequences using stretchings.http://dx.doi.org/10.1155/S0161171201003933 |
| spellingShingle | Richard F. Patterson Analogues of some Tauberian theorems for stretchings International Journal of Mathematics and Mathematical Sciences |
| title | Analogues of some Tauberian theorems for stretchings |
| title_full | Analogues of some Tauberian theorems for stretchings |
| title_fullStr | Analogues of some Tauberian theorems for stretchings |
| title_full_unstemmed | Analogues of some Tauberian theorems for stretchings |
| title_short | Analogues of some Tauberian theorems for stretchings |
| title_sort | analogues of some tauberian theorems for stretchings |
| url | http://dx.doi.org/10.1155/S0161171201003933 |
| work_keys_str_mv | AT richardfpatterson analoguesofsometauberiantheoremsforstretchings |