<i>A</i>-distributional summability in topological spaces
POSITIVITY, sa.1, ss.131-145, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2014
- Doi Numarası: 10.1007/s11117-013-0235-7
- Dergi Adı: POSITIVITY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.131-145
- Anahtar Kelimeler: A-distributional convergence, A-statistical convergence, Hausdorff spaces, Matrix summability, STATISTICAL CONVERGENCE
- Ankara Üniversitesi Adresli: Evet
Özet
In the present paper we introduce a new concept of A-distributional convergence in an arbitrary Hausdorff topological space which is equivalent to -statistical convergence for a degenerate distribution function. We investigate -distributional convergence as a summability method in an arbitrary Hausdorff topological space. We also study the summability of spliced sequences, in particular, for metric spaces and give the Bochner integral representation of -limits of the spliced sequences for Banach spaces.