A Statistical Korovkin Type Approximation Theorem for Functions of Two Variables on an Infinite Interval
Yazarlar (2)
Prof. Dr. Kamil DEMİRCİ Sinop Üniversitesi, Türkiye
Prof. Dr. Sevda AKDAĞ Sinop Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Acta Mathematica Universitatis Comenianae | ||
| Dergi ISSN | 0862-9544 Dergi Bilgileri (2012) | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2012 |
| Cilt / Sayı / Sayfa | 81 / 2 / 151–157 | DOI | – |
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| In this paper, using the concept of A-statistical convergence for double sequences, we provide a Korovkin-type approximation theorem for positive linear operators on the space of all real-valued uniform continuous functions on [0;?) x [0;?) with the property that have a finite limit at the infinity. Then, we display an application which shows that our new result is stronger than its classical version. |
| Anahtar Kelimeler |
| A-statistical convergence of double sequence | Baskakov operator | Positive linear operator | The Korovkin theorem |