Blending interpolation and best \(L^1\)-approximation
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Publication:1173220
DOI10.1007/BF01192822zbMath0503.41003OpenAlexW2026065874MaRDI QIDQ1173220
Werner Haussmann, K. L. Zeller
Publication date: 1983
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01192822
Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)
Related Items (8)
Jackson-type theorems on approximation by trigonometric and algebraic pseudopolynomials ⋮ Interpolation and \(L_1\)-approximation by trigonometric polynomials and blending functions ⋮ Bivariate Polynomials of Least Deviation from Zero ⋮ Canonical sets of best \(L_1\)-approximation ⋮ Approximate calculation of triple integrals of rapidly oscillating functions with the use of Lagrange polynomial interflation ⋮ Cubature remainder estimates by approximation degrees ⋮ Degree of best approximation by trigonometric blending functions ⋮ Best one-sided \(L^1\)-approximation by blending functions of order \((2,2)\)
Cites Work
- Smooth interpolation in triangles
- On the approximation of a bivariate function by the sum of univariate functions
- d-Variate Boolean interpolation
- Chebyshev polynomials of several variables
- Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
- On the algorithm of diliberto and straus for approximating bivariate functions by univariate ones
- Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation
- \(L_1\)-approximation to zero
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