Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-12-01T04:06:20.459Z Has data issue: false hasContentIssue false
  • English
  • Français

Approximation Par des Fonctions Lipschitziennes et Critere de Convergence Etroite D'une Suite de Probabilites

Published online by Cambridge University Press:  20 November 2018

I. Rihaoui
I. Rihaoui*
Affiliation:
Département de Mathématiques, Universite Claude Bernard-Lyon 1 43, Boulevard du 11 Novembre 1918 69622 Villeurbanne Cedex, France
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Keywords

54C30 Real valued functions on a metric space28A32 Weak convergence of measures
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 4 , 01 December 1984 , pp. 514 - 516
Copyright
Copyright © Canadian Mathematical Society 1984

References

1. Billingsley, P., Convergence of Probability Measures, John Wiley & Sons, 1968.Google Scholar
2. Hewitt, E. et Stromberg, K., Real and Abstract Analysis, Springer-Verlag, 1969.Google Scholar