Simultaneous approximation, interpolation and Birkhoff systems

DOI10.1016/0021-9045(83)90057-6zbMath0538.41030OpenAlexW2055133007MaRDI QIDQ793258

Rudolph Alexander Lorentz

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90057-6

zbMATH Keywords

Birkhoff interpolationbest simultaneous approximationBirkhoff systemChebyshev approximationHaar spacesBirkhoff conditionPólya condition

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05) Simultaneous approximation (41A28)

Related Items

Simultaneous approximation and Birkhoff interpolation. II: the periodic case

Cites Work

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• Hermite-Birkhoff interpolation problems in Haar subspaces
• Independent sets of knots and singularity of interpolation matrices
• Hermite-Birkhoff interpolation and approximation of a function and its derivatives
• Nonuniqueness of simultaneous approximation by algebraic polynomials
• Differentiable Tchebycheff subspaces and Hermite interpolation
• Uniqueness in the Uniform Approximation of a Function and Its Derivatives
• A Partial Characterization of Poised Hermite–Birkhoff Interpolation Problems