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

• Autorzy: P N Natarajan
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Convergence of a double sequence and a double series, regularity of 4-dimensional infinite matrices, Silverman-Toeplitz theorem for double sequences and double series

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: 54
• Numer: 1

Daty

wydano

2014

online

2015-06-30

Twórcy

autor

P N Natarajan

Identyfikatory

DOI

10.14708/cm.v54i1.766