About the statistical uniform convergence
type: Item
instance of: scholarly article
title: About the statistical uniform convergence
zbMATH Open document ID: 1170.40001
author: Marina Nicasio-Llach
author: A. Aizpuru
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2009-05-13T00:00:00Z
review text: The concept of statistical convergence was introduced by \textit{H. Fast} [Colloq. Math. 2, 241--244 (1951; Zbl 0044.33605)]. The authors study the concept of statistical uniform convergence and generalize some results on uniform convergence in double sequences to the statistical convergence. They introduce the concepts of strong statistical convergence and strongly statistical Cauchy sequence. Moreover, a basic matrix theorem for statistical convergence is proved.
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 40B05
zbMATH DE Number: 5553516
zbMATH Keywords: statistical convergence
zbMATH Keywords: double sequences
zbMATH Keywords: statistical uniform convergence
reviewed by: İbrahím Çanak
MaRDI profile type: Publication
full work available at URL: s00574-008-0078-1
OpenAlex ID: W2012521039
DOI: 10.1007/S00574-008-0078-1
description: scientific article; zbMATH DE number 5553516