Statistical convergence of subsequences of a given sequence

Martin Máčaj; Tibor Šalát

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 1, page 191-208
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Máčaj, Martin, and Šalát, Tibor. "Statistical convergence of subsequences of a given sequence." Mathematica Bohemica 126.1 (2001): 191-208. <http://eudml.org/doc/32555>.

@article{Máčaj2001,
abstract = {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.},
author = {Máčaj, Martin, Šalát, Tibor},
journal = {Mathematica Bohemica},
keywords = {asymptotic density; statistical convergence; Lebesgue measure; Hausdorff dimension; Baire category; measure of weak noncompactness; nonlinear Volterra integral equation; Kneser property},
language = {eng},
number = {1},
pages = {191-208},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Statistical convergence of subsequences of a given sequence},
url = {http://eudml.org/doc/32555},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Máčaj, Martin
AU - Šalát, Tibor
TI - Statistical convergence of subsequences of a given sequence
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 1
SP - 191
EP - 208
AB - 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.
LA - eng
KW - asymptotic density; statistical convergence; Lebesgue measure; Hausdorff dimension; Baire category; measure of weak noncompactness; nonlinear Volterra integral equation; Kneser property
UR - http://eudml.org/doc/32555
ER -

References

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