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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| Language: | English |
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Hindawi Limited
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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doaj-6a26db0fc5cb4dc7a86daa7def8480292020-11-24T21:59:59ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Richard F. Patterson |
| spellingShingle |
Richard F. Patterson Analogues of some Tauberian theorems for stretchings International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Richard F. Patterson |
| author_sort |
Richard F. Patterson |
| title |
Analogues of some Tauberian theorems for stretchings |
| title_short |
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_sort |
analogues of some tauberian theorems for stretchings |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2001-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/S0161171201003933 |
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AT richardfpatterson analoguesofsometauberiantheoremsforstretchings |
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