Geodesic
Modes of \((\alpha)\)-convergence of sequences of functions
Commentationes Mathematicae, Tome 53 (2013) no. 1, pp. 83-94.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper we deal with continuous convergence and some related properties of sequences of functions. We present some conditions to get uniform convergence of the sequence involved to a constant function. As an application, we give a result on equivalence between modes of convergence.
DOI : 10.14708/cm.v53i1.776
Mots-clés : sympathetic convergence, fine convergence, sympathetic-\(\alpha\)-convergence, fine-\(\alpha\)-convergence 
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E. Athanassiadou; A. Boccuto; N. Papanastassiou. Modes of \((\alpha)\)-convergence of sequences of functions. Commentationes Mathematicae, Tome 53 (2013) no. 1, pp.  83-94. doi : 10.14708/cm.v53i1.776. http://geodesic.mathdoc.fr/articles/10.14708/cm.v53i1.776/

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