Delta(m)-Statistical convergence


Et M., Nuray F.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.32, ss.961-969, 2001 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 32 Konu: 6
  • Basım Tarihi: 2001
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.961-969

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].