CONVERGENCE TO A COMPACT SET IN FUNCTIONAL SPACES
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, cilt.82, sa.4, ss.131-140, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 82 Sayı: 4
- Basım Tarihi: 2020
- Dergi Adı: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.131-140
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper we introduce a convergence concept for compact subset of a sequence of functions. This convergence is called Gamma-statistical uniform convergence. We also establish necessary and sufficient conditions for Gamma-statistical uniform convergence to a compact set of cluster functions of a sequence of functions in functional spaces. Furthermore, we investigate some properties and applications of new type convergence.