Rate of P-convergence over equivalence classes of double sequence spaces

Patterson R. F., Savas E.

Positivity, cilt.16, sa.4, ss.739-749, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s11117-011-0143-7
  • Dergi Adı: Positivity
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.739-749
  • Anahtar Kelimeler: Asymptotically equivalent, Divergent double sequences, P-convergent, Pringsheim limit point
  • Uşak Üniversitesi Adresli: Hayır

Özet

This paper presents multidimensional characterizations of equivalence classes of double sequences. These characterizations will be analyzed by presenting theorems of the following type: If A is convergent preserving over {x ∈ S″0 : x equivalent to b} then there exists a b′ ∈ S″0 such that b converges faster than b′ and A is convergent preserving over {x ∈ S″0 : x equivalent to b′} © 2011 Springer Basel AG.