In this paper we deal with continuous convergence and some related properties of sequences of functions. In particular, we consider the sympathetic convergence and the fine convergence. Furthermore, 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 different kinds of modes of convergence.
Modes of alpha-convergence of sequences of functions
BOCCUTO, Antonio;
2013
Abstract
In this paper we deal with continuous convergence and some related properties of sequences of functions. In particular, we consider the sympathetic convergence and the fine convergence. Furthermore, 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 different kinds of modes of convergence.File in questo prodotto:
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