- Journal of Mathematical Sciences and Modelling
- Vol: 2 Issue: 3
- Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergenc...
Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence
Authors : Selma Altundağ, Bayram Sözbir
Pages : 198-204
Doi:10.33187/jmsm.652626
View : 16 | Download : 3
Publication Date : 2019-12-26
Article Type : Research
Abstract :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.Keywords : αβ-statistical convergence, Double sequences, Korovkin type theorem, Lacunary statistical convergence, λ-statistical convergence, Statistical convergence