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

Hari M. Srivastava, Khursheed J. Ansari, Faruk Özger and Zeynep Ödemiş Özger
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Hari M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Khursheed J. Ansari: Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Faruk Özger: Department of Engineering Sciences, İzmir Katip Çelebi University, İzmir 35620, Turkey
Zeynep Ödemiş Özger: Department of Engineering Sciences, İzmir Katip Çelebi University, İzmir 35620, Turkey

Mathematics, 2021, vol. 9, issue 16, 1-15

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.

Keywords: four dimensional matrix; double sequence; power series method; statistical convergence; computer graphics; error of approximation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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