Korovkin type approximation theorem for functions of two variables in statistical sense
Yükleniyor...
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Turkish Journal of Mathematics
Erişim Hakkı
Özet
In this paper, using the concept of A-statistical convergence for double sequences, we investigate a Korovkin-type approximation theorem for sequences of positive linear operator on the space of all continuous real valued functions defined on any compact subset of the real two-dimensional space. Then we display an application which shows that our new result is stronger than its classical version. We also obtain a Voronovskaya-type theorem and some differential properties for sequences of positive linear operators constructed by means of the Bernstein polynomials of two variables.
Açıklama
Anahtar Kelimeler
A-Statistical convergence of double sequence, Korovkin-type approximation theorem, Bernstein polynomials, Voronovskaya-type theorem
Kaynak
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
Sayı
Künye
Dirik, F., Demirci, K. "Korovkin type approximation theorem for functions of two variables in statistical sense". Turkish Journal of Mathematics. 34 (2010) , 73 – 83.
