The Borel property for 4-dimensional matrices

Tas E.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.45, sa.2, ss.473-482, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.15672/hjms.20164512504
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.473-482
  • Anahtar Kelimeler: Double sequences, Pringsheim convergence, the Borel Property, double sequences of 0's and 1's, DOUBLE SEQUENCES
  • Ankara Üniversitesi Adresli: Evet

Özet

In 1909 Borel has proved that "Almost all of the sequences of 0's and 1's are Cesaro summable to 1/2". Then Hill has generalized Borel's result to two dimensional matrices. In this paper we investigate the Borel property for 4-dimensional matrices.