Statistical convergence of infinite series

M. Dindoš; Tibor Šalát; Vladimír Toma

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 4, page 989-1000
  • ISSN: 0011-4642

Abstract

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In this paper we use the notion of statistical convergence of infinite series naturally introduced as the statistical convergence of the sequence of the partial sums of the series. We will discuss some questions related to the convergence of subseries of a given series.

How to cite

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Dindoš, M., Šalát, Tibor, and Toma, Vladimír. "Statistical convergence of infinite series." Czechoslovak Mathematical Journal 53.4 (2003): 989-1000. <http://eudml.org/doc/30829>.

@article{Dindoš2003,
abstract = {In this paper we use the notion of statistical convergence of infinite series naturally introduced as the statistical convergence of the sequence of the partial sums of the series. We will discuss some questions related to the convergence of subseries of a given series.},
author = {Dindoš, M., Šalát, Tibor, Toma, Vladimír},
journal = {Czechoslovak Mathematical Journal},
keywords = {statistical convergence; set of the first category; Hausdorff dimension; homogeneous set; statistical convergence; set of the first category; Hausdorff dimension; homogeneous set},
language = {eng},
number = {4},
pages = {989-1000},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Statistical convergence of infinite series},
url = {http://eudml.org/doc/30829},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Dindoš, M.
AU - Šalát, Tibor
AU - Toma, Vladimír
TI - Statistical convergence of infinite series
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 989
EP - 1000
AB - In this paper we use the notion of statistical convergence of infinite series naturally introduced as the statistical convergence of the sequence of the partial sums of the series. We will discuss some questions related to the convergence of subseries of a given series.
LA - eng
KW - statistical convergence; set of the first category; Hausdorff dimension; homogeneous set; statistical convergence; set of the first category; Hausdorff dimension; homogeneous set
UR - http://eudml.org/doc/30829
ER -

References

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