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More on Convergence of Continuous Functions and Topological Convergence of Sets

Canadian Mathematical Bulletin, 1985
AbstractLet C(X, Y) denote the set of continuous functions from a metric space X to a metric space Y. Viewing elements of C(X, Y) as closed subsets of X × Y, we say {fn} converges topologically to f if Li fn = Lsfn = f. If X is connected, then topological convergence in C(X,R) does not imply pointwise convergence, but if X is locally connected and Y is
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On Uniform Convergence of Continuous Functions and Topological Convergence of Sets

Canadian Mathematical Bulletin, 1983
AbstractLet X and Y be metric spaces. This paper considers the relationship between uniform convergence in C(X, Y) and topological convergence of functions in C(X, Y), viewed as subsets of X×Y. In general, uniform convergence in C(X, Y) implies Hausdorff metric convergence which, in turn, implies topological convergence, but if X and Y are compact ...
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On Γ−-convergence of functionals with analytic integrand

Annali di Matematica Pura ed Applicata, 1993
This paper is concerned with \(\Gamma\)-convergence of sequences of simple integral functionals of the calculus of variations. It shows that, under suitable conditions, some differentiability properties of the integrands of the approximating functionals, in particular the analyticity, remain true for the integrand of the \(\Gamma\)-limit functional.
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On functional convergences

2011
Partendo dalla ricerca di condizioni affinché una convergenza di successioni possa essere individuata da una funzione a valori reali, l’introduzione di due condizioni di tipo diagonale consente di caratterizzare le convergenze quasi-normabili, quindi quelle esistenti nelle topologie di spazio lineare.
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Convergence and rates of convergence of radial basis functions networks in function learning

Nonlinear Analysis: Theory, Methods & Applications, 2001
Krzyżak, Adam, Niemann, Heinrich
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Contractive Interference Functions and Rates of Convergence of Distributed Power Control Laws

IEEE Transactions on Wireless Communications, 2012
Hamid Reza Feyzmahdavian   +2 more
exaly  

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