LACUNARY STATISTICAL SUMMABILITY OF SEQUENCES OF SETS

Year 2015, Volume: 3 Issue: 2, 176 - 184, 01.10.2015

Uğur Ulusu Fatih Nuray

Abstract

In this paper we de ne the WS􀀀analog of the Cauchy criterion for convergence and show that it is equivalent to Wijsman lacunary statistical convergence. Also, Wijsman lacunary statistical convergence is compared to other summability methods which are de ned in this paper. After giving new de nitions for convergence, we prove a result comparing them. In addition, we give the relationship between Wijsman lacunary statistical convergence and Hausdorf lacunary statistical convergence.

Keywords

Statistical convergence, lacunary sequence, sequence of sets, Wijsman convergence, Hausdor convergence, Cesaro summability, almost convergence

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