GENERALIZED A-STATISTICAL CONVERGENCE AND A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES

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BELEN C., YILDIRIM M.

MISKOLC MATHEMATICAL NOTES, cilt.14, sa.1, ss.31-39, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.18514/mmn.2013.478
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.31-39
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we use the notion of ideal to obtain two more general concepts and call them as I -A-statistical convergence and ideal A-summability. We also use the the concept of I -A-statistical convergence to prove a Korovkin type approximation theorem for double sequences of positive linear operators and present an interesting example to show that our Korovkin theorem is stronger than those proved earlier.