Chlodowsky variant of Bernstein-type operators on the domain
Sev\.ilay Kirci Serenbay, Rab\.ia Akta\c{s} Karaman
TL;DR
This paper introduces and analyzes Chlodowsky variants of Bernstein-type operators for function approximation on domains, including two-variable and shifted operators, with examples and visualizations of their approximation capabilities.
Contribution
It presents new Chlodowsky Bernstein-type operators in two variables and explores their properties and applications on transformed domains.
Findings
Operators effectively approximate functions on complex domains
Visual examples demonstrate approximation quality
New variants extend classical Bernstein operators
Abstract
In the present paper, we deal with Bernstein-Chlodowsky type operators for approximating functions on the domain. We first present Bernstein-Chlodowsky type operators in two variables and then we discuss some examples of these operators under a domain transformation. Finally, we give bivarite shifted mth Bernstein-Chlodowsky-Stancu operators and we present some figures for approximation properties of our operator.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Advanced Numerical Analysis Techniques