Geodesic
Approximation Par des Fonctions Lipschitziennes et Critere de Convergence Etroite D'une Suite de Probabilites
Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 514-516

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we prove that a real valued bounded function, defined on a metric space and uniformly continuous is the uniform limit of a sequence of Lipschitzian bounded functions.As a consequence, a new criterion for the weak convergence of probabilities is given.
DOI : 10.4153/CMB-1984-082-3
Mots-clés : 54C30 Real valued functions on a metric space, 28A32 Weak convergence of measures 
Rihaoui, I. Approximation Par des Fonctions Lipschitziennes et Critere de Convergence Etroite D'une Suite de Probabilites. Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 514-516. doi: 10.4153/CMB-1984-082-3
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[1] 1. Billingsley, P., Convergence of Probability Measures, John Wiley & Sons, 1968. Google Scholar

[2] 2. Hewitt, E. et Stromberg, K., Real and Abstract Analysis, Springer-Verlag, 1969. Google Scholar

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