The sigma-convergence and sigma-core of double sequences

Cakan C., Altay B., Mursaleen M.

APPLIED MATHEMATICS LETTERS, cilt.19, sa.10, ss.1122-1128, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 10
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.aml.2005.12.003
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1122-1128
  • İnönü Üniversitesi Adresli: Hayır

Özet

The sigma-convergence and sigma-core of a real bounded sequence were introduced in [R. Raimi, Invariant means and invariant matrix methods of summability, Duke Math. J. 30 (1963) 81-94] and [S.L. Mishra, B. Satapathy, N. Rath, Invariant means and a-core, J. Indian Math. Soc. 60 (1984) 151-158], respectively. In this work, we extend these ideas to double sequences. (C) 2006 Elsevier Ltd. All rights reserved.