Remarks on statistical and $I$-convergence of series

Jaroslav Červeňanský; Tibor Šalát; Vladimír Toma

Displaying similar documents to “Remarks on statistical and $I$ -convergence of series”

$ℐ$ -convergence and extremal $ℐ$ -limit points

Pavel Kostyrko, Martin Máčaj, Tibor Šalát, Martin Sleziak (2005)

Mathematica Slovaca

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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, $ℐ_{u}$ -convergence, $ϕ$ -convergence, almost convergence, strong $p$ -Cesàro convergence and uniformly strong $p$ -Cesàro convergence.

Extremal $ℐ$ -limit points of double sequences.

Gürdal, Mehmet, Şahiner, Ahmet (2008)

Applied Mathematics E-Notes [electronic only]

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On $ϕ$ -convergence and $ϕ$ -density

Eugen Kováč (2005)

Mathematica Slovaca

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Ideal convergence and divergence of nets in $(ℓ)$ -groups

Antonio Boccuto, Xenofon Dimitriou, Nikolaos Papanastassiou (2012)

Czechoslovak Mathematical Journal

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In this paper we introduce the $ℐ$ - and $ℐ^{*}$ -convergence and divergence of nets in $(ℓ)$ -groups. We prove some theorems relating different types of convergence/divergence for nets in $(ℓ)$ -group setting, in relation with ideals. We consider both order and $(D)$ -convergence. By using basic properties of order sequences, some fundamental properties, Cauchy-type characterizations and comparison results are derived. We prove that $ℐ^{*}$ -convergence/divergence implies $ℐ$ -convergence/divergence for every ideal,...

Displaying similar documents to “Remarks on statistical and I -convergence of series”

ℐ -convergence and extremal ℐ -limit points

Remarks on several types of convergence of bounded sequences

Extremal ℐ -limit points of double sequences.

On ϕ -convergence and ϕ -density

Ideal convergence and divergence of nets in ( ℓ ) -groups

Displaying similar documents to “Remarks on statistical and $I$ -convergence of series”

$ℐ$ -convergence and extremal $ℐ$ -limit points

Extremal $ℐ$ -limit points of double sequences.

On $ϕ$ -convergence and $ϕ$ -density

Ideal convergence and divergence of nets in $(ℓ)$ -groups