A straightforward generalization of Diliberto and Straus' algorithm does not work

DOI10.1016/0021-9045(80)90028-3zbMath0486.65014OpenAlexW1972990742MaRDI QIDQ1164956

N. Richter-Dyn

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90028-3

zbMATH Keywords

counterexamplebivariate functiontensor-product spaces

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Algorithms for approximation of functions (65D15)

Related Items (3)

On error formulas for approximation by sums of univariate functions ⋮ Failure of the alternating algorithm for best approximation of multivariate functions ⋮ Extremal signatures for bivariate Chebyshev approximation problems

Cites Work

• On the approximation of a bivariate function by the sum of univariate functions
• A note on the approximation of functions of several variables by sums of functions of one variable
• On the approximation of a function of several variables by the sum of functions of fewer variables
• On the algorithm of diliberto and straus for approximating bivariate functions by univariate ones

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