On the characterization of a class of four dimensional matrices and steinhaus type theorems


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Yesilkayagil M., Basar F.

Kragujevac Journal of Mathematics, cilt.40, sa.1, ss.35-45, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.5937/kgjmath1601035y
  • Dergi Adı: Kragujevac Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.35-45
  • Anahtar Kelimeler: Double sequence, Double series, Matrix transformations, Pringsheim convergence, Steinhaus type theorems
  • Uşak Üniversitesi Adresli: Evet

Özet

In the present paper, we give the definitions of four dimensional conull and coregular matrices, and characterize the classes (Mu: Cv), where v ε (p, p0; f) and Cf denotes the space of all almost convergent double sequences. Additionally, we give two Steinhaus type theorems related to the coercive/almost coercive four dimensional sequence to sequence matrix transformations.