刊名:Journal of Mathematical Analysis and Applications
出版年:2016
出版时间:15 November 2016
年:2016
卷:443
期:2
页码:752-764
全文大小:353 K
文摘
In this work, we first define a difference operator of natural order m with respect to (p,q)-integers. We then introduce the concepts of -statistical convergence, statistical -summability and strong -summability of order γ by the weighted method. Furthermore, based on the definition of statistical -summability, we prove a Korovkin type approximation theorem for functions of two variables. By using (p,q)-analogue of Bernstein operator of two variables we give an example which shows that proposed method successfully works. Finally, some Voronovskaja type approximation results are obtained.