Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

Selma ALTUNDAĞ, (Sakarya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Sakarya, Türkiye)
Bayram SÖZBİR (Sakarya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Sakarya, Türkiye)
Journal of mathematical sciences and modelling (Online)
1 0
Yıl: 2019 Cilt: 2 Sayı: 3 Sayfa Aralığı: 198 - 204 Metin Dili: İngilizce DOI: 10.33187/jmsm.652626 İndeks Tarihi: 29-07-2022

Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

Öz:
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.
Anahtar Kelime: Korovkin type theorem Double sequences Lacunary statistical convergence λ-statistical convergence Statistical convergence αβ-statistical convergence

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Altundag S, sözbir b (2019). Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. , 198 - 204. 10.33187/jmsm.652626
Chicago Altundag Selma,sözbir bayram Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. (2019): 198 - 204. 10.33187/jmsm.652626
MLA Altundag Selma,sözbir bayram Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. , 2019, ss.198 - 204. 10.33187/jmsm.652626
AMA Altundag S,sözbir b Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. . 2019; 198 - 204. 10.33187/jmsm.652626
Vancouver Altundag S,sözbir b Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. . 2019; 198 - 204. 10.33187/jmsm.652626
IEEE Altundag S,sözbir b "Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence." , ss.198 - 204, 2019. 10.33187/jmsm.652626
ISNAD Altundag, Selma - sözbir, bayram. "Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence". (2019), 198-204. https://doi.org/10.33187/jmsm.652626
APA Altundag S, sözbir b (2019). Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of mathematical sciences and modelling (Online), 2(3), 198 - 204. 10.33187/jmsm.652626
Chicago Altundag Selma,sözbir bayram Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of mathematical sciences and modelling (Online) 2, no.3 (2019): 198 - 204. 10.33187/jmsm.652626
MLA Altundag Selma,sözbir bayram Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of mathematical sciences and modelling (Online), vol.2, no.3, 2019, ss.198 - 204. 10.33187/jmsm.652626
AMA Altundag S,sözbir b Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of mathematical sciences and modelling (Online). 2019; 2(3): 198 - 204. 10.33187/jmsm.652626
Vancouver Altundag S,sözbir b Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of mathematical sciences and modelling (Online). 2019; 2(3): 198 - 204. 10.33187/jmsm.652626
IEEE Altundag S,sözbir b "Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence." Journal of mathematical sciences and modelling (Online), 2, ss.198 - 204, 2019. 10.33187/jmsm.652626
ISNAD Altundag, Selma - sözbir, bayram. "Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence". Journal of mathematical sciences and modelling (Online) 2/3 (2019), 198-204. https://doi.org/10.33187/jmsm.652626
Sayfa Oluşturulma Tarihi
23-04-2024 19:37

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