Delta(m)-Statistical convergence

Et M., Nuray F.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.32, sa.6, ss.961-969, 2001 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 6
  • Basım Tarihi: 2001
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.961-969
  • Sivas Cumhuriyet Üniversitesi Adresli: Hayır

Özet

In this paper, we define a general sequence space Delta (m) (X) = {x = (x(k)) : (Delta (m) x(k)) is an element of X}, (m is an element of N), where X is any sequence space. We establish some inclusion relations, topological results and we characterize the continuous duals of Delta (m) (X). Furthermore we introduce of Delta (m)-statistical convergence and given inclusion relation between Delta (m) (w(p))-convergence and Delta (m)-statistically convergence, The results are more general than those of Kizmaz [3], Fridy [6], Conor [7], Basarir [8], Et-Colak [9] and Salat [10].