On statistical limit points

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

doi:10.1090/S0002-9939-00-05891-3

On statistical limit points
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by P. Kostyrko, M. Mačaj, T. Šalát and O. Strauch PDF

Proc. Amer. Math. Soc. 129 (2001), 2647-2654 Request permission

Abstract:

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

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