Geodesic
Statistical convergence of subsequences of a given sequence
Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 191-208.

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This paper is closely related to the paper of Harry I. Miller: Measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc. 347 (1995), 1811–1819 and contains a general investigation of statistical convergence of subsequences of an arbitrary sequence from the point of view of Lebesgue measure, Hausdorff dimensions and Baire’s categories.
DOI : 10.21136/MB.2001.133923
Classification : 11K55, 18B05, 40A05
Keywords: asymptotic density; statistical convergence; Lebesgue measure; Hausdorff dimension; Baire category 
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Mačaj, M.; Šalát, T. Statistical convergence of subsequences of a given sequence. Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 191-208. doi : 10.21136/MB.2001.133923. http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133923/

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