Four-dimensional matrix transformation and rate of A-statistical convergence of periodic functions
Yükleniyor...
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mathematical and Computer Modelling
Erişim Hakkı
Özet
In this paper, using the concept of A-statistical convergence for double real sequences, we obtain a Korovkin type-approximation theorem for double sequences of positive linear operators defined on the space of all 2 -periodic and real valued continuous functions on the real two-dimensional space. Furthermore, we display an application which shows that our new result is stronger than its classical version. Also, we study rates of A-statistical convergence of a double sequence of positive linear operators acting on this space. Finally, displaying an example, it is shown that our statistical rates are more efficient than the classical aspects in the approximation theory.
Açıklama
Anahtar Kelimeler
The Korovkin type-approximation theorem, 2 -periodic and real valued continuous functions, Rates of A-statistical convergence for double sequences, Regularity for double sequences
Kaynak
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Scopus Q Değeri
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Sayı
Künye
Demirci, K., Dirik, F. (2010). Four-dimensional matrix transformation and rate of A-statistical convergence of periodic functions. Mathematical and Computer Modelling, 52, 1858-1866.
