<i>A</i>-distributional summability in topological spaces

Unver M., Khan M. K., Orhan C.

POSITIVITY, sa.1, ss.131-145, 2014 (SCI-Expanded) identifier identifier

  • 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.