Matrix transformation and statistical convergence
type: Item
instance of: scholarly article
title: Matrix transformation and statistical convergence
zbMATH Open document ID: 1128.40003
author: Bruno de Malafosse
author: Vladimir Rakočević
published in: Linear Algebra and its Applications
publication date: 2007-01-09T00:00:00Z
review text: The authors obtain sufficient conditions to have a sequence \(\lambda,A^{-1}\)-statistically convergent. Then they deduce conditions for a sequence to be \(\lambda,\overline N_q\)-statistically convergent. Finally the authors get results in the cases when \(A\) is the operator \(C(\mu)\) or the Cesàro operator. For details, we refer the reader to the paper.
Mathematics Subject Classification ID: 40C05
Mathematics Subject Classification ID: 40F05
Mathematics Subject Classification ID: 40G05
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 5083608
zbMATH Keywords: matrix transformations
zbMATH Keywords: statistical convergence
zbMATH Keywords: \(\lambda\),\(A\)-statistical convergence
zbMATH Keywords: BK space
zbMATH Keywords: AK apace
reviewed by: Babban Prasad Mishra
MaRDI profile type: Publication
full work available at URL: j.laa.2006.07.021
OpenAlex ID: W2010992775
cites work: On some BK spaces
cites work: Q5696809
cites work: Sur la convergence statistique
cites work: ON STATISTICAL CONVERGENCE
cites work: Statistical Limit Points
cites work: Lacunary statistical convergence
cites work: Statistical core theorems
cites work: Ordinary, absolute and strong summability and matrix transformations
cites work: Q4870698
cites work: Q4431767
cites work: Q3312652
DOI: 10.1016/J.LAA.2006.07.021
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description: scientific article; zbMATH DE number 5083608