In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double sequences are compared under some certain assumptions. Finally, as an application, we prove Korovkin type approximation theorem for a function of two variables by using the notion of αβ−statistical convergence.
αβ-statistical convergence Double sequences Korovkin type theorem Lacunary statistical convergence λ-statistical convergence Statistical convergence
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 26 Aralık 2019 |
Gönderilme Tarihi | 28 Kasım 2019 |
Kabul Tarihi | 22 Aralık 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 2 Sayı: 3 |
Journal of Mathematical Sciences and Modelling
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