Problemy Analiza — Issues of Analysis
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Probl. Anal. Issues Anal.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 3, Pages 3–14
DOI: https://doi.org/10.15393/j3.art.2022.11850 (Mi pa356) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the statistical convergence of nested sequences of sets

H. Albayraka, F. Babaarslanb, Ö. Ölmeza, S. Aytara

a Süleyman Demirel University, 32260, Isparta, Turkey
b Yozgat Bozok University, Department of Mathematics, 66100, Yozgat, Turkey
Full-text PDF (590 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.15393/j3.art.2022.11850
Abstract: In this paper, we show that Wijsman convergence and statistical Wijsman convergence are equivalent to each other if we choose the sequences of sets as monotone. Then, we show that every statistical Wijsman convergent monotone sequence of sets is not only Hausdorff convergent but also statistical Hausdorff convergent to the same set.
Keywords: nested sequences of sets, statistical Wijsman convergence, statistical Hausdorff convergence.
Received: 20.05.2022
Revised: 14.08.2022
Accepted: 17.08.2022
Bibliographic databases:
Document Type: Article
UDC: 515.124
MSC: 40A05, 40A35, 54A20
Language: English
Citation: H. Albayrak, F. Babaarslan, Ö. Ölmez, S. Aytar, “On the statistical convergence of nested sequences of sets”, Probl. Anal. Issues Anal., 11(29):3 (2022), 3–14
Citation in format AMSBIB
\Bibitem{AlbBabOel22}
\by H.~Albayrak, F.~Babaarslan, \"O.~\"Olmez, S.~Aytar
\paper On the statistical convergence of nested sequences of sets
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 3
\pages 3--14
\mathnet{http://mi.mathnet.ru/pa356}
\crossref{https://doi.org/10.15393/j3.art.2022.11850}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4507769}
Linking options:
  • https://www.mathnet.ru/eng/pa356
  • https://www.mathnet.ru/eng/pa/v29/i3/p3
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Problemy Analiza — Issues of Analysis
    Statistics & downloads:
    Abstract page:42
    Full-text PDF :17
    References:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024