A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices
Date
2021
Authors
Srivastava, H.M.
Ansari, Khursheed J.
Özger, Faruk
Özger, Zeynep Ödemiş
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
In this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots. We use a statistical convergence type and power series method to obtain certain Korovkin type theorems, and we study certain rates of convergences related to these summability methods. Furthermore, we numerically analyze the theoretical results and provide some computer graphics to emphasize the importance of this study.
Description
Keywords
four dimensional matrix, double sequence, power series method, statistical convergence, computer graphics, error of approximation
Citation
Srivastava, H. M., Ansari, K. J., Özger, F., Özger, Z. Ö. (2021). A Link between Approximation Theory and Summability Methods via Four-Dimesionial Infinite Matrices. Mathematics, 9(16), 1-15. https://doi.org/10.3390/math9161895.