-convergence and extremal -limit points
Pavel Kostyrko, Martin Máčaj, Tibor Šalát, Martin Sleziak (2005)
Mathematica Slovaca
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Displaying similar documents to “Extremal -limit points of double sequences.”
-convergence and extremal -limit points
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.
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.