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.
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 
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
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