Analogues of some Tauberian theorems for stretchings

Richard F. Patterson

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-11

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:567508

DOI: 10.1155/S0161171201003933

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