A category theorem for double sequences

Patterson R. F., Savas E.

Applied Mathematics Letters, cilt.24, sa.10, ss.1680-1684, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 10
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.aml.2011.04.017
  • Dergi Adı: Applied Mathematics Letters
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1680-1684
  • Anahtar Kelimeler: Divergent double sequences, P-convergent, P-divergent, Pringsheim limit point, RH-regular, Subsequences of a double sequences
  • Uşak Üniversitesi Adresli: Hayır

Özet

The goal of this paper is to present the following multidimensional category theorem for double sequences via four-dimensional matrix transformations. The set of second category double subsequences of the double sequence (sk,l) is summable by a four-dimensional RH-regular matrix A=(am,n,k,l) if and only if (sk,l) is P-convergent. This theorem is established using multidimensional sliding hump constructions for bounded and unbounded doubles sequences. © 2011 Elsevier Ltd. All rights reserved.