Cesàro statistical core of complex number sequences.

In this paper, we are mainly concerned with characterizing matrices that map every bounded sequence into one whose Banach core is a subset of the statistical core of the original sequence.

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.

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