A Korovkin type approximation theorem for double sequences of positive linear operators of two variables in A-statistical sense
Yükleniyor...
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Bulletin of the Korean Mathematical Society
Erişim Hakkı
Özet
In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from Hw(K) to C(K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A -statistical convergence by means of the modulus of continuity.
Açıklama
Anahtar Kelimeler
A-statistical convergence for double sequences, Positive linear operator, Korovkin-type approximation theorem, Meyer-K\{o}nig and Zeller operator, Modulus of continuity
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Demirci, K., Dirik, F. (2010). A Korovkin type approximation theorem for double sequences of positive linear operators of two variables in A-statistical sense. Bulletin of the Korean Mathematical Society, 47(4), 825-837.
