A New Perspective to Convergence Types in Classical Real Analysis Using Double Sequences

Duyar C., Sagir B., Ogur O.

FILOMAT, cilt.30, sa.2, ss.483-488, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1602483d
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.483-488
  • Anahtar Kelimeler: Double function sequence, almost everywhere convergence in Pringsheim's sense, convergence in measure in Pringsheim's sense, uniformly convergence in Pringsheim's sense
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, following their counterparts for single sequences in classical real analysis we will introduce and examine convergence types and relationship between them for double sequences of functions defined on a subset E with finite measure in real numbers.