Back to Search
Start Over
ON CERTAIN GENERALIZED MATRIX METHODS OF CONVERGENCE IN (ℓ)-GROUPS.
- Source :
-
Mathematica Slovaca . Aug2017, Vol. 67 Issue 4, p929-938. 10p. - Publication Year :
- 2017
-
Abstract
- We introduce a convergence of weight g : N→[0,∞) where g(n)→∞ and n=g(n)↛0 with respect to a summability matrix method A for sequences (which generalizes the notion of A-convergence of order α; 0 < α ≤ 1 [BOCCUTO, A.-DAS, P.: On matrix methods of convergence of order (α) in (ℓ)-groups, Filomat 29 (2015), 2069-2077] in a (ℓ)-group. We prove some basic results including a Cauchy-type criterion. Finally a closedness result for the space of such convergent sequences is proved. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01399918
- Volume :
- 67
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematica Slovaca
- Publication Type :
- Academic Journal
- Accession number :
- 124282434
- Full Text :
- https://doi.org/10.1515/ms-2017-0021