A New Definition of Convergence of a Double Sequence and a Double Series and Silverman-Toeplitz Theorem

P N Natarajan. "A New Definition of Convergence of a Double Sequence and a Double Series and Silverman-Toeplitz Theorem." Commentationes Mathematicae 54.1 (2014): null. <http://eudml.org/doc/292466>.

@article{PNNatarajan2014,
abstract = {Throughout this paper, entries of 4-dimensional infinite matrices, double sequences and double series are real or complex numbers. In the present paper, we introduce a new definition of convergence of a double sequence and a double series and record a few results on convergent double sequences. We also prove Silverman-Toeplitz theorem for double sequences and series.},
author = {P N Natarajan},
journal = {Commentationes Mathematicae},
keywords = {Convergence of a double sequence and a double series, regularity of 4-dimensional infinite matrices, Silverman-Toeplitz theorem for double sequences and double series},
language = {eng},
number = {1},
pages = {null},
title = {A New Definition of Convergence of a Double Sequence and a Double Series and Silverman-Toeplitz Theorem},
url = {http://eudml.org/doc/292466},
volume = {54},
year = {2014},
}

TY - JOUR
AU - P N Natarajan
TI - A New Definition of Convergence of a Double Sequence and a Double Series and Silverman-Toeplitz Theorem
JO - Commentationes Mathematicae
PY - 2014
VL - 54
IS - 1
SP - null
AB - Throughout this paper, entries of 4-dimensional infinite matrices, double sequences and double series are real or complex numbers. In the present paper, we introduce a new definition of convergence of a double sequence and a double series and record a few results on convergent double sequences. We also prove Silverman-Toeplitz theorem for double sequences and series.
LA - eng
KW - Convergence of a double sequence and a double series, regularity of 4-dimensional infinite matrices, Silverman-Toeplitz theorem for double sequences and double series
UR - http://eudml.org/doc/292466
ER -