TAUBERIAN-THEOREMS FOR POWER-SERIES METHODS APPLIED TO DOUBLE SEQUENCES

Authors
BARON S STADTMULLER U
Citation
S. Baron et U. Stadtmuller, TAUBERIAN-THEOREMS FOR POWER-SERIES METHODS APPLIED TO DOUBLE SEQUENCES, Journal of mathematical analysis and applications, 211(2), 1997, pp. 574-589
Citations number
25
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
211
Issue
2
Year of publication
1997
Pages
574 - 589
Database
ISI
SICI code
0022-247X(1997)211:2<574:TFPMAT>2.0.ZU;2-0
Abstract
We discuss the relations between power series methods, weighted mean m ethods, and ordinary convergence for double sequences. In particular, we study Tauberian theorems for methods being products of the related one-dimensional summability methods. (C) 1997 Academic Press.