e-core of double sequences

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Sever Y., Talo Ö.

Acta Mathematica Hungarica, cilt.144, sa.1, ss.236-246, 2014 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 144 Sayı: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s10474-014-0447-8
  • Dergi Adı: Acta Mathematica Hungarica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.236-246
  • Anahtar Kelimeler: double sequence space, e-convergence, e-limit superior and inferior, core theorem
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Boos, Leiger and Zeller [1,2] defined the concept of e-convergence. In this paper we introduce the concepts of e-limit superior and inferior for real double sequences and prove some fundamental properties of e-limit superior and inferior. In addition to these results we define e-core for double sequences. Also, we show that that if A is a nonnegative Ceregular matrix then the e-core of Ax is contained in e-core of x, provided that Ax exists.