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Lacunary statistical cluster points of sequences. (English) Zbl 1113.40003

The authors study lacunary statistical convergence of sequences. This notion is different from that of statistical convergence. The main purpose of the present paper is to introduce the concept of a lacunary statistical cluster point in a finite-dimensional Banach space. There are proved some interesting properties of the set of these points, by using a method suggested by S. Pehlivan and M. A. Mamedov [Optimization 48, No. 1, 93–106 (2000; Zbl 0963.40002)]. The note is concluded with a list of references containing 22 items.

MSC:

40A05 Convergence and divergence of series and sequences
11B05 Density, gaps, topology

Citations:

Zbl 0963.40002
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