SOME ROUGH HAUSDORFF LIMIT LAWS FOR SEQUENCES OF SETS

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Olmez O., ALBAYRAK H., AYTAR S.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, vol.37, no.3, pp.621-629, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.22190/fumi211025043o
  • Journal Name: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.621-629
  • Keywords: limit law, Hausdorff convergence, sequence of sets, CONVERGENCE
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this study, we observe the change of roughness degree for the rough Hausdorff convergence of a sequence, consisting of the product of a sequence of sets and a sequence of real numbers. Then we prove that the rough Hausdorff convergence is preserved under the operators of addition, union, Cartesian product and convex hull.