GENERALIZED A-STATISTICAL CONVERGENCE AND A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES
MISKOLC MATHEMATICAL NOTES, cilt.14, sa.1, ss.31-39, 2013 (SCI-Expanded)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.