-convergence and extremal -limit points
Pavel Kostyrko, Martin Máčaj, Tibor Šalát, Martin Sleziak (2005)
Mathematica Slovaca
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Displaying similar documents to “Remarks on statistical and -convergence of series”
-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.
Extremal -limit points of double sequences.
Gürdal, Mehmet, Şahiner, Ahmet (2008)
Applied Mathematics E-Notes [electronic only]
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On -convergence and -density
Eugen Kováč (2005)
Mathematica Slovaca
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Ideal convergence and divergence of nets in -groups
Antonio Boccuto, Xenofon Dimitriou, Nikolaos Papanastassiou (2012)
Czechoslovak Mathematical Journal
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In this paper we introduce the - and -convergence and divergence of nets in -groups. We prove some theorems relating different types of convergence/divergence for nets in -group setting, in relation with ideals. We consider both order and -convergence. By using basic properties of order sequences, some fundamental properties, Cauchy-type characterizations and comparison results are derived. We prove that -convergence/divergence implies -convergence/divergence for every ideal,...