- Tytuł:
- A New Definition of Convergence of a Double Sequence and a Double Series and Silverman-Toeplitz Theorem
- Autorzy:
- Natarajan, P N
- Powiązania:
- https://bibliotekanauki.pl/articles/963556.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
ultrametric field
regular matrix
schur matrix
non-inclusion
theorem
steinhaus theorem - Opis:
- 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.
- Źródło:
-
Commentationes Mathematicae; 2014, 54, 1; 137-142
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł