Discrete Linear Interpolatory Operators
J. Szabados
TL;DR
This survey reviews discrete linear interpolatory operators that approximate functions effectively and have useful properties at specific nodes, highlighting their applications in numerical analysis.
Contribution
It provides a comprehensive overview of discrete linear interpolatory operators, emphasizing their approximation properties and practical relevance.
Findings
Operators achieve near-best approximation order
They possess interpolatory properties at specific nodes
Useful in various numerical analysis applications
Abstract
This is a survey on discrete linear operators which, besides approximating in Jackson or near-best order, possess some interpolatory property at some nodes. Such operators can be useful in numerical analysis.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Numerical methods in inverse problems · Approximation Theory and Sequence Spaces