Statistical convergence of infinite series
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 989-1000
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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.
Classification :
40A05
Keywords: statistical convergence; set of the first category; Hausdorff dimension; homogeneous set
Keywords: statistical convergence; set of the first category; Hausdorff dimension; homogeneous set
@article{CMJ_2003__53_4_a15,
author = {Dindo\v{s}, M. and \v{S}al\'at, T. and Toma, V.},
title = {Statistical convergence of infinite series},
journal = {Czechoslovak Mathematical Journal},
pages = {989--1000},
publisher = {mathdoc},
volume = {53},
number = {4},
year = {2003},
mrnumber = {2018844},
zbl = {1080.40500},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2003__53_4_a15/}
}
Dindoš, M.; Šalát, T.; Toma, V. Statistical convergence of infinite series. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 989-1000. http://geodesic.mathdoc.fr/item/CMJ_2003__53_4_a15/