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A Tauberian theorem for ideal statistical convergence (Q2288224)

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Language	Label	Description	Also known as
English	A Tauberian theorem for ideal statistical convergence	scientific article

Statements

scholarly article

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A Tauberian theorem for ideal statistical convergence (English)

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Marek Balcerzak

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Indagationes Mathematicae. New Series

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publication date

17 January 2020

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full work available at URL

https://arxiv.org/abs/1908.04853

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zbMATH Keywords

ideal statistical convergence

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Tauberian condition

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submeasures

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generalized density ideal

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maximal ideals

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MaRDI profile type

MaRDI publication profile

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Generalized kinds of density and the associated ideals

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Statistical convergence of functional sequences

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Tauberian conditions under which the original convergence of double sequences follows from the statistical convergence of their weighted means

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A note on nonregular matrices and ideals associated with them

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On generalizations of certain summability methods using ideals

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A generalized statistical convergence via ideals

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Statistical convergence in topology

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Abstract densities and ideals of sets

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On variations via statistical convergence

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Analytic quotients: theory of liftings for quotients over analytic ideals on the integers

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How many Boolean algebras \({\mathcal P}(\mathbb{N})/{\mathcal I}\) are there?

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Analytic Hausdorff gaps. II: The density zero ideal

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Ideal convergence versus matrix summability

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ON STATISTICAL CONVERGENCE

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Tauberian theorems via statistical convergence

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Statistical extensions of some classical Tauberian theorems

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Statistical gap Tauberian theorems in metric spaces

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Nonmeasurable subgroups of compact groups

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\(\mathcal I\)-convergence

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Limit points of subsequences

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Characterizations of ideal cluster points

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Upper and lower densities have the strong Darboux property

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A Note on Borel Equivalence Relations

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Statistical convergence in a locally convex space

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A Tauberian theorem for statistical convergence

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Tauberian conditions, under which statistical convergence follows from statistical summability \((C,1)\)

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Tauberian theorems for double sequences that are statistically summable \((C,1,1)\)

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Ordinary convergence follows from statistical summability (C,1) in the case of slowly decreasing or oscillating sequences

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Identifiers

zbMATH Open document ID

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10.1016/j.indag.2019.10.001

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2288224

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