Uniform Generalized Weight Function Polynomial Approximation with Interpolation

DOI10.1137/0706026zbMath0203.48102OpenAlexW1982428915MaRDI QIDQ5603583

D. G. Moursund, G. D. (Jerry) Taylor, Larry L. Schumaker, Henry L. Loeb

Publication date: 1969

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0706026

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The Remez Exchange Algorithm for Approximation With Linear Restrictions ⋮ Remez algorithm for Chebyshev approximation with interpolation ⋮ The best interpolating approximation and weighted approximation ⋮ A Unified Approach to Uniform Real Approximation by Polynomials with Linear Restrictions ⋮ Approximation with interpolatory constraints ⋮ Approximation with interpolatory constraints ⋮ Optimal rational starting approximations ⋮ Best uniform approximation with Hermite-Birkhoff interpolatory side conditions ⋮ An alternation theory for copositive approximation ⋮ A general framework for the optimal approximation of circular arcs by parametric polynomial curves ⋮ Approximation with constraints in normed linear spaces ⋮ Approximation by functions having restricted ranges: Equality case ⋮ Strong unicity of order 2 in C(T) ⋮ Kolmogoroff's criterion for constrained rational approximation ⋮ Uniform rational approximation with osculatory interpolation ⋮ A generalization of the varisolvency and unisolvency properties ⋮ Nonlinear Tchebycheff approximation with constraints ⋮ Optimal starting approximations for iterative schemes ⋮ Discrete chebyshev approximation with interpolation

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