Filter exhaustiveness and F-alpha-convergence of function sequences


ALBAYRAK H. , PEHLİVAN S.

FILOMAT, cilt.27, sa.8, ss.1373-1383, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Konu: 8
  • Basım Tarihi: 2013
  • Doi Numarası: 10.2298/fil1308373a
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.1373-1383

Özet

In this work, we generalize the concepts of exhaustiveness, alpha-convergence, Cauchy sequence, pointwise convergence and uniform convergence for sequences of functions on metric spaces in terms of filters. We investigate some properties of these new concepts. We also examine the relations between the new concepts and the classical concepts.