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Mathematical Communications, Vol. 11 No. 1, 2006.

Original scientific paper

Lacunary statistical cluster points of sequences

S. Pehlivan
M. Gürdal
B. Fisher

Full text: english pdf 114 Kb

page 39-46

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Abstract

In this note we introduce the concept of a lacunary statistical cluster
(l.s.c.) point and prove some of its properties in finite dimensional
Banach spaces. We develop the method suggested by S. Pehlivan and M.A. Mamedov [20] where it was proved that under some conditions optimal paths have the same unique stationary limit point and stationary cluster point. We also show that the set $\Gamma_x^{\theta}$ of l.s.c. points is nonempty and compact.

Keywords

natural density; lacunary statistical cluster points; statistically bounded sequence; statistical cluster points

Hrčak ID:

4174

URI

https://hrcak.srce.hr/4174

Publication date:

20.7.2006.

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