Statistical cluster point and statistical limit point sets of subsequences of a given sequence

Year 2020, Volume: 49 Issue: 2, 494 - 497, 02.04.2020

Harry I. Miller Leila Miller-van Wieren

https://doi.org/10.15672/hujms.712019

Cited By: 4

https://izlik.org/JA58DP33RR

Abstract

J.A. Fridy [Statistical limit points, Proc. Amer. Math. Soc., 1993] considered statistical cluster points and statistical limit points of a given sequence x. Here we show that almost all subsequences of x have the same statistical cluster point set as x. Also, we show an analogous result for the statistical limit points of x.

Keywords

sequences , subsequences , statistical cluster points , statistical limit points

References

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