International Journal of Mathematics and Mathematical Sciences 
Volume 27 (2001), Issue 2, Pages 99-109
doi:10.1155/S0161171201003933

Analogues of some Tauberian theorems for stretchings

Richard F. Patterson

 Department of Mathematics and Statistics, University of North Florida, Building 11, Jacksonville 32224, FL, USA
Received 22 September 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.