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2000/2001 I-Convergence
Pavel Kostyrko, Władysław Wilczyński, Tibor Šalát
Real Anal. Exchange 26(2): 669-686 (2000/2001).


In this paper we introduce and study the concept of ${\cal I}$-convergence of sequences in metric spaces, where ${\cal I}$ is an ideal of subsets of the set $\N$ of positive integers. We extend this concept to ${\cal I}$-convergence of sequence of real functions defined on a metric space and prove some basic properties of these concepts.


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Pavel Kostyrko. Władysław Wilczyński. Tibor Šalát. "I-Convergence." Real Anal. Exchange 26 (2) 669 - 686, 2000/2001.


Published: 2000/2001
First available in Project Euclid: 27 June 2008

zbMATH: 1021.40001
MathSciNet: MR1844385

Primary: 40A30
Secondary: 40A99 , 40C15

Keywords: Baire classification of functions , ideals of sets , statistical convergence

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 2 • 2000/2001
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