The Knopp and statistical α-cores of sequences

YARDIMCI Ş.

Mathematical Communications, cilt.14, sa.2, ss.299-305, 2009 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2009
  • Dergi Adı: Mathematical Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.299-305
  • Anahtar Kelimeler: Core of a sequence, Functionals on the bounded sequences, Knopp core theorem, Statistical convergence, Statistical core theorem
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we give some non-trivial generalizations of the Knopp core and statistical core theorems introduced by Knopp [Math. Z. 31 (1930) 97-127] and by Fridy and Orhan [J. Math. Anal. Appl. 208 (1997) 520-527], respectively. ©2009 Department of Mathematics, University of Osijek.