Geodesic
A New Definition of Convergence of a Double Sequence and a Double Series and Silverman-Toeplitz Theorem
Commentationes Mathematicae, Tome 54 (2014) no. 1, pp. 129-139.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/cm.v54i1.766
Classification : 40, 46
Mots-clés : Convergence of a double sequence and a double series, regularity of 4-dimensional infinite matrices, Silverman-Toeplitz theorem for double sequences and double series 
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P N Natarajan. A New Definition of Convergence of a Double Sequence and a Double Series and Silverman-Toeplitz Theorem. Commentationes Mathematicae, Tome 54 (2014) no. 1, pp.  129-139. doi : 10.14708/cm.v54i1.766. http://geodesic.mathdoc.fr/articles/10.14708/cm.v54i1.766/

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