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Lacunary weak statistical convergence

Fatih Nuray — 2011

Mathematica Bohemica

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.