CONVERGENCE TO A COMPACT SET IN FUNCTIONAL SPACES

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PEHLİVAN S.

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, vol.82, no.4, pp.131-140, 2020 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 82 Issue: 4
• Publication Date: 2020
• Journal Name: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
• Page Numbers: pp.131-140
• Süleyman Demirel University Affiliated: Yes

Abstract

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.