On the ideal convergence of subsequences and rearrangements of a real sequence
type: Item
instance of: scholarly article
title: On the ideal convergence of subsequences and rearrangements of a real sequence
zbMATH Open document ID: 1206.40001
author: Hüseyin Albayrak
author: Serpil Pehlivan
published in: Applied Mathematics Letters
publication date: 2010-09-01T00:00:00Z
review text: The authors examine the ideal convergence of subsequences and rearrangements of a real sequence. They obtain a necessary and sufficient condition for a sequence to be statistically convergent. In the last section they present some results related to the \(I_{\varphi}\)-continuity, the set of \(I_{\varphi}\)-limit points and set of \(I_{\varphi}\)-cluster points.
Mathematics Subject Classification ID: 40A35
zbMATH DE Number: 5777289
zbMATH Keywords: ideal convergence
zbMATH Keywords: statistical convergence
zbMATH Keywords: rearrangement
zbMATH Keywords: \(\varphi \)-density
zbMATH Keywords: \(\mathcal I _{\varphi}\)-continuity
zbMATH Keywords: \(\mathcal I_{\varphi}\)-limit point
reviewed by: İbrahím Çanak
MaRDI profile type: Publication
full work available at URL: j.aml.2010.05.012
OpenAlex ID: W2061066491
cites work: Sur la convergence statistique
cites work: Generalized Asymptotic Density
cites work: Q3478460
cites work: Set Theory
cites work: Q5705579
cites work: The Lattice Point Covering Theorem for Rectangles
DOI: 10.1016/J.AML.2010.05.012
description: scientific article; zbMATH DE number 5777289