Filter exhaustiveness and F-alpha-convergence of function sequences
FILOMAT, cilt.27, sa.8, ss.1373-1383, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 8
- Basım Tarihi: 2013
- Doi Numarası: 10.2298/fil1308373a
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1373-1383
- Anahtar Kelimeler: Filter exhaustiveness, F-alpha-convergence, F-pointwise convergence, F-uniform convergence, F-uniform Cauchy sequence, STATISTICAL CONVERGENCE
- Süleyman Demirel Üniversitesi Adresli: Evet
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.