A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices

A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices

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...

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Bibliographic Details
Main Authors: Hari M. Srivastava, Khursheed J. Ansari, Faruk Özger, Zeynep Ödemiş Özger
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
four dimensional matrix
double sequence
power series method
statistical convergence
computer graphics
error of approximation
Online Access:https://www.mdpi.com/2227-7390/9/16/1895
Description
Summary: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.
ISSN:2227-7390

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