Displaying similar documents to “On weak statistical convergence.”

Lacunary weak statistical convergence

Fatih Nuray (2011)

Mathematica Bohemica

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The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and ℐ -convergence to weak ℐ -convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequence. We find a connection between weak lacunary statistical convergence and weak statistical convergence.

Statistical cluster points of sequences in finite dimensional spaces

Serpil Pehlivan, A. Güncan, M. A. Mamedov (2004)

Czechoslovak Mathematical Journal

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In this paper we study the set of statistical cluster points of sequences in m -dimensional spaces. We show that some properties of the set of statistical cluster points of the real number sequences remain in force for the sequences in m -dimensional spaces too. We also define a notion of Γ -statistical convergence. A sequence x is Γ -statistically convergent to a set C if C is a minimal closed set such that for every ϵ > 0 the set { k ρ ( C , x k ) ≥ ϵ } has density zero. It is shown that every statistically bounded...