International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2001 / Article

Open Access

Volume 27 |Article ID 567508 | https://doi.org/10.1155/S0161171201003933

Richard F. Patterson, "Analogues of some Tauberian theorems for stretchings", International Journal of Mathematics and Mathematical Sciences, vol. 27, Article ID 567508, 11 pages, 2001. https://doi.org/10.1155/S0161171201003933

Analogues of some Tauberian theorems for stretchings

Received22 Sep 1999

Abstract

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.

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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