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Statistical Convergence in Function Spaces
Author(s) -
Agata Caserta,
Giuseppe Di Maio,
Ljubiša D. R. Kočinac
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/420419
Subject(s) - mathematics , convergence (economics) , metric space , modes of convergence (annotated index) , function (biology) , metric (unit) , function space , uniform convergence , pure mathematics , normal convergence , rate of convergence , topological space , topological vector space , computer science , computer network , channel (broadcasting) , operations management , bandwidth (computing) , evolutionary biology , isolated point , economics , biology , economic growth
We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces. Also, we discuss a statistical approach to recently introduced notions of strong uniform convergence and exhaustiveness

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