ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES

Abstract: In this paper, the notion of statistical convergence, which was introduced by Steinhaus (1951), was studied in Rm ; and some concepts and theorems, whose statistical correspondence for the real number sequences were given, were carried to Rm . In addition, the concepts of the statistical limit point and the statistical cluster point were given and it was mentioned that these two concepts were'nt equal in Fridy's study in 1993. These concepts were given in Rm and the inclusion correlation between these concepts was studied. Key words: Statistical convergence, statistical boundedness, statistically Cauchy sequence, statistical limit point, statistical cluster point. Mathematics Subject Classifications (2000): 40A05 SONLU BOYUTLU UZAYLARDA İSTATİSTİKSEL YAKINSAKLIK ÜZERİNE Özet: Bu makalede Steinhaus (1951) tarafından verilen istatistiksel yakınsaklık kavramı Rm de incelenip, reel sayı dizileri için istatistiksel benzerleri verilen bazı kavram ve teoremler R m e taşınmıştır. 1993'de Fridy tarafından yapılan çalışmada istatistiksel limit noktası ve istatistiksel yığılma noktası kavramları verilip bu iki kavramın birbirine denk olmadığından bahsedilmiştir. Bu kavramlar R m de verilip aralarındaki kapsama bağıntısı incelenmiştir. Anahtar kelimeler: İstatistiksel Yakınsaklık, İstatistiksel Sınırlılık, İstatistiksel Cauchy Dizisi, İstatistiksel Limit Noktası, İstatistiksel Yığılma Noktası.

Anahtar Kelimeler:

İstatistiksel Yakınsaklık, İstatistiksel Sınırlılık, İstatistiksel Cauchy

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