ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES

Ayşe Nur Güncan

doi:10.29233/sdufeffd.134646

ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES

Abstract

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.

Keywords

İstatistiksel Yakınsaklık, İstatistiksel Sınırlılık, İstatistiksel Cauchy

References

BUCK RC, 1953. Generalized asymptotic density, American Journal of Mathematics, 75, 335-346.
CONNOR JS, 1985. Some applications of functional analysis to summability theory, Ph.D thesis, Kent State University.
CONNOR JS, 1988. The statistical and strong P-Cesáro convergence of sequences, Analysis, 8, 47-63.
FAST H, 1951. Sur la convergence statistique, Collog. Math, 2, 241-244.
FRIDY JA, 1985. On statistical convergence, Analysis, 5, 301-313.
FRIDY JA, 1993. Statistical limit point,Proceedings of the American Mathematical Society, 4, 1187-1192.
MADDOX IJ 1988. Statistical convergence in a locally convex sequence space, Math. Proc. Camp. Phil. Soc., 104, 141-145.
PEHLIVAN S, MAMEDOV M, 2000. Statistical cluster point and turnpike, Optimization, 48, 93-106.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Ayşe Nur Güncan This is me

Publication Date

June 1, 2008

Submission Date

February 25, 2009

Acceptance Date

-

Published in Issue

Year 2008 Volume: 3 Number: 1

DOI

https://doi.org/10.29233/sdufeffd.134646

IZ

https://izlik.org/JA47BL28LC

Cite

RIS / Bibtex

APA

Güncan, A. N. (2008). ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 3(1), 113-122. https://doi.org/10.29233/sdufeffd.134646

AMA

1.Güncan AN. ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2008;3(1):113-122. doi:10.29233/sdufeffd.134646

Chicago

Güncan, Ayşe Nur. 2008. “ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 3 (1): 113-22. https://doi.org/10.29233/sdufeffd.134646.

EndNote

Güncan AN (June 1, 2008) ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES. Süleyman Demirel University Faculty of Arts and Science Journal of Science 3 1 113–122.

IEEE

[1]A. N. Güncan, “ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 3, no. 1, pp. 113–122, June 2008, doi: 10.29233/sdufeffd.134646.

ISNAD

Güncan, Ayşe Nur. “ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 3/1 (June 1, 2008): 113-122. https://doi.org/10.29233/sdufeffd.134646.

JAMA

1.Güncan AN. ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2008;3:113–122.

MLA

Güncan, Ayşe Nur. “ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 3, no. 1, June 2008, pp. 113-22, doi:10.29233/sdufeffd.134646.

Vancouver

1.Ayşe Nur Güncan. ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2008 Jun. 1;3(1):113-22. doi:10.29233/sdufeffd.134646