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## Statistical cluster point and statistical limit point sets of subsequences of a given sequence

#### Harry I. MİLLER [1] , Leila Miller-van WİEREN [2]

J.A. Fridy [Statistical limit points, Proc. Amer. Math. Soc., 1993] considered statistical cluster points and statistical limit points of a given sequence x. Here we show that almost all subsequences of x have the same statistical cluster point set as x. Also, we show an analogous result for the statistical limit points of x.
sequences, subsequences, statistical cluster points, statistical limit points
• [1] J.A. Fridy, Statistical limit points, Proc. Amer. Math. Soc. 118 1187–1192, 1993.
• [2] H.I. Miller, Measure theoretical subsequence characterization of statistical conver- gence, Trans. Amer. Math. Soc. 347 (5) 1811–1819, 1995.
• [3] H.I. Miller and L. Miller-Van Wieren, Some statistical cluster point theorems, Hacet. J. Math. Stat. 44 (6) 1405–1409, 2015.
• [4] P. Kostyrko, M. Mačaj, T. Šalat, and O. Strauch, On statistical limit points, Proc. Amer. Math. Soc. 129 (9), 2647–2654, 2000.
• [5] J.C. Oxtoby, Measure and Category: A survey of the analogies between topological and measure spaces. Second edition, Springer-Verlag, New York-Berlin,1980.
Birincil Dil en Matematik Matematik Yazar: Harry I. MİLLER Kurum: International University of Sarajevo,Ülke: Bosnia and Herzegovina Orcid: 0000-0002-7621-9231Yazar: Leila Miller-van WİEREN Kurum: International University of Sarajevo,Ülke: Bosnia and Herzegovina Yayımlanma Tarihi : 2 Nisan 2020
 Bibtex @araştırma makalesi { hujms712019, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe Üniversitesi}, year = {2020}, volume = {49}, pages = {494 - 497}, doi = {10.15672/hujms.712019}, title = {Statistical cluster point and statistical limit point sets of subsequences of a given sequence}, key = {cite}, author = {MİLLER, Harry I. and WİEREN, Leila Miller-van} } APA MİLLER, H , WİEREN, L . (2020). Statistical cluster point and statistical limit point sets of subsequences of a given sequence. Hacettepe Journal of Mathematics and Statistics , 49 (2) , 494-497 . DOI: 10.15672/hujms.712019 MLA MİLLER, H , WİEREN, L . "Statistical cluster point and statistical limit point sets of subsequences of a given sequence". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 494-497 Chicago MİLLER, H , WİEREN, L . "Statistical cluster point and statistical limit point sets of subsequences of a given sequence". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 494-497 RIS TY - JOUR T1 - Statistical cluster point and statistical limit point sets of subsequences of a given sequence AU - Harry I. MİLLER , Leila Miller-van WİEREN Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.712019 DO - 10.15672/hujms.712019 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 494 EP - 497 VL - 49 IS - 2 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.712019 UR - https://doi.org/10.15672/hujms.712019 Y2 - 2016 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Statistical cluster point and statistical limit point sets of subsequences of a given sequence %A Harry I. MİLLER , Leila Miller-van WİEREN %T Statistical cluster point and statistical limit point sets of subsequences of a given sequence %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 2 %R doi: 10.15672/hujms.712019 %U 10.15672/hujms.712019 ISNAD MİLLER, Harry I. , WİEREN, Leila Miller-van . "Statistical cluster point and statistical limit point sets of subsequences of a given sequence". Hacettepe Journal of Mathematics and Statistics 49 / 2 (Nisan 2020): 494-497 . https://doi.org/10.15672/hujms.712019 AMA MİLLER H , WİEREN L . Statistical cluster point and statistical limit point sets of subsequences of a given sequence. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 494-497. Vancouver MİLLER H , WİEREN L . Statistical cluster point and statistical limit point sets of subsequences of a given sequence. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 497-494.

Makalenin Yazarları
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