$I$ and $I^*$-convergence in topological spaces

Benoy Kumar Lahiri; Pratulananda Das

Displaying similar documents to “ $I$ and $I^{*}$ -convergence in topological spaces”

Statistical convergence of a sequence of random variables and limit theorems

Sanjoy Ghosal (2013)

Applications of Mathematics

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In this paper the ideas of three types of statistical convergence of a sequence of random variables, namely, statistical convergence in probability, statistical convergence in mean of order $r$ and statistical convergence in distribution are introduced and the interrelation among them is investigated. Also their certain basic properties are studied.

A convergence on Boolean algebras generalizing the convergence on the Aleksandrov cube

Miloš S. Kurilić, Aleksandar Pavlović (2014)

Czechoslovak Mathematical Journal

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We compare the forcing-related properties of a complete Boolean algebra $𝔹$ with the properties of the convergences $λ_{s}$ (the algebraic convergence) and $λ_{ls}$ on $𝔹$ generalizing the convergence on the Cantor and Aleksandrov cube, respectively. In particular, we show that $λ_{ls}$ is a topological convergence iff forcing by $𝔹$ does not produce new reals and that $λ_{ls}$ is weakly topological if $𝔹$ satisfies condition $(ℏ)$ (implied by the $𝔱$ -cc). On the other hand, if $λ_{ls}$ is a weakly topological convergence, then $𝔹$ ...

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.

Displaying similar documents to “ I and I * -convergence in topological spaces”

Statistical convergence of a sequence of random variables and limit theorems

A convergence on Boolean algebras generalizing the convergence on the Aleksandrov cube

Remarks on several types of convergence of bounded sequences

Displaying similar documents to “ $I$ and $I^{*}$ -convergence in topological spaces”