On statistical limit points-Reference-Cited by-同舟云学术

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On statistical limit points

Published:2000-12-07 Issue:9 Volume:129 Page:2647-2654
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kostyrko P.,Mačaj M.,Šalát T.,Strauch O.

Abstract

The set of all statistical limit points of a given sequence x n x_n is characterized as an F σ F_\sigma -set. It is also characterized in terms of discontinuity points of distribution functions of x n x_n .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-09/S0002-9939-00-05891-3/S0002-9939-00-05891-3.pdf

Reference9 articles.

1. Distribution modulo 1 of some oscillating sequences. II;Berend, Daniel;Israel J. Math.,1995

2. Statistical limit points;Fridy, J. A.;Proc. Amer. Math. Soc.,1993

3. Pure and Applied Mathematics;Kuipers, L.,1974

4. A sampler of recent developments in the distribution of sequences;Myerson, G.,1993

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