-convergence and extremal -limit points
Pavel Kostyrko, Martin Máčaj, Tibor Šalát, Martin Sleziak (2005)
Mathematica Slovaca
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Displaying similar documents to “On -convergence and -density”
-convergence and extremal -limit points
Remarks on several types of convergence of bounded sequences
Vladimír Baláž, Oto Strauch, Tibor Šalát (2006)
Acta Mathematica Universitatis Ostraviensis
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In this paper we analyze relations among several types of convergences of bounded sequences, in particulars among statistical convergence, -convergence, -convergence, almost convergence, strong -Cesàro convergence and uniformly strong -Cesàro convergence.
Remarks on statistical and -convergence of series
Jaroslav Červeňanský, Tibor Šalát, Vladimír Toma (2005)
Mathematica Bohemica
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In this paper we investigate the relationship between the statistical (or generally -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.