Displaying similar documents to “Spaces not distinguishing pointwise and ℐ -quasinormal convergence”

On ideal equal convergence

Rafał Filipów, Marcin Staniszewski (2014)

Open Mathematics

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We consider ideal equal convergence of a sequence of functions. This is a generalization of equal convergence introduced by Császár and Laczkovich [Császár Á., Laczkovich M., Discrete and equal convergence, Studia Sci. Math. Hungar., 1975, 10(3–4), 463–472]. Our definition of ideal equal convergence encompasses two different kinds of ideal equal convergence introduced in [Das P., Dutta S., Pal S.K., On and *-equal convergence and an Egoroff-type theorem, Mat. Vesnik, 2014, 66(2), 165–177]_and...

μ -statistically convergent function sequences

Oktay Duman, Cihan Orhan (2004)

Czechoslovak Mathematical Journal

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In the present paper we are concerned with convergence in μ -density and μ -statistical convergence of sequences of functions defined on a subset D of real numbers, where μ is a finitely additive measure. Particularly, we introduce the concepts of μ -statistical uniform convergence and μ -statistical pointwise convergence, and observe that μ -statistical uniform convergence inherits the basic properties of uniform convergence.

Spaces not distinguishing convergences

Miroslav Repický (2000)

Commentationes Mathematicae Universitatis Carolinae

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In the present paper we introduce a convergence condition ( Σ ' ) and continue the study of “not distinguish” for various kinds of convergence of sequences of real functions on a topological space started in [2] and [3]. We compute cardinal invariants associated with introduced properties of spaces.