A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm
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Publication:1137205
DOI10.1016/0021-9045(78)90013-8zbMath0428.41023OpenAlexW1994277229MaRDI QIDQ1137205
Publication date: 1978
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(78)90013-8
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05)
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Cites Work
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- A theorem on interpolation in Haar subspaces
- Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
- Auswertung der Normen von Interpolationsoperatoren
- A differential equation approach to interpolation at extremal points
- Point systems for Lagrange interpolation
- On some convergence properties of the interpolation polynomials
- Problems and results on the theory of interpolation. II
- On the existence and characterization of minimal projections.
- Optimization of the norm of the Lagrange interpolation operator
- On the Maximum Errors of Polynomial Approximations Defined by Interpolation and by Least Squares Criteria
- Some remarks on polynomials
- On the role of the Lebesgue functions in the theory of the Lagrange interpolation
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