You are here

Home » Content

SONLU BOYUTLU UZAYLARDA İSTATİSTİKSEL YAKINSAKLIK ÜZERİNE

ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES

Journal Name:

  • Süleyman Demirel Üniversitesi Fen Dergisi

Publication Year:

  • 2008

Key Words:

Keywords (Original Language):

Author NameUniversity of Author
Abstract (2. Language): 
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.
Bookmark/Search this post with
Abstract (Original Language): 
Bu makalede Steinhaus (1951) tarafından verilen istatistiksel yakınsaklık kavramı Rm de incelenip, reel sayı dizileri için istatistiksel benzerleri verilen bazı kavram ve teoremler Rm 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 Rm de verilip aralarındaki kapsama bağıntısı incelenmiştir.
FULL TEXT (PDF): 
PDF icon arastirmax-sonlu-boyutlu-uzaylarda-istatistiksel-yakinsaklik-uzerine.pdf
  • 1
113-121
  • Turkish

REFERENCES

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-Cesaro 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.
RATH D, TRIPATHY BC, 1994. On statistically convergent and statistically Cauchy
sequences, Indian Journal of Pure and Applied Mathematics, 25, 381-386. SALAT T, 1980. On Statistically convergent sequences of real numbers, Mathematica. Slovaca, 30, 139-150.
A. N.
GÜNCA
N
122
SCHOENBERG IJ, 1959. The integrability of certain functions and related summability
methods, American. Mathematical. Monthly, 66, 361-375. STEINHAUS H, 1951. Sur la convergence ordinaire et la convergence asymptotique,
Colloq. Math, 2, 73-74.

Thank you for copying data from http://www.arastirmax.com