SOME ROUGH HAUSDORFF LIMIT LAWS FOR SEQUENCES OF SETS
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, vol.37, no.3, pp.621-629, 2022 (ESCI)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.