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.
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 
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
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