Geodesic
Remarks on statistical and $I$-convergence of series
Mathematica Bohemica, Tome 130 (2005) no. 2, pp. 177-184.

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In this paper we investigate the relationship between the statistical (or generally $I$-convergence) of a series and the usual convergence of its subseries. We also give a counterexample which shows that Theorem 1 of the paper by B. C. Tripathy “On statistically convergent series”, Punjab. Univ. J. Math. 32 (1999), 1–8, is not correct.
DOI : 10.21136/MB.2005.134134
Classification : 40A05, 54A20
Keywords: statistical convergence; $I$-convergence; $I$-convergent series 
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Červeňanský, J.; Šalát, T.; Toma, V. Remarks on statistical and $I$-convergence of series. Mathematica Bohemica, Tome 130 (2005) no. 2, pp. 177-184. doi : 10.21136/MB.2005.134134. http://geodesic.mathdoc.fr/articles/10.21136/MB.2005.134134/

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