CONVERGENCE TO A COMPACT SET IN FUNCTIONAL SPACES


PEHLİVAN S.

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, cilt.82, sa.4, ss.131-140, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 82 Konu: 4
  • Basım Tarihi: 2020
  • Dergi Adı: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
  • Sayfa Sayıları: ss.131-140

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.