Generalized Statistical Convergence and Statistical Core of Double Sequences

Mursaleen M., Çakan C., Mohiuddine S. A., Savaş E.

Acta Mathematica Sinica, English Series, cilt.26, sa.11, ss.2131-2144, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 11
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s10114-010-9050-2
  • Dergi Adı: Acta Mathematica Sinica, English Series
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2131-2144
  • Anahtar Kelimeler: core, Double sequence, matrix transformation, statistical convergence
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper we extend the notion of λ-statistical convergence to the (λ,μ)statistical convergence for double sequences x = (xjk). We also determine some matrix transformations and establish some core theorems related to our new space of double sequences Sλ,μ. © 2010 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.