Error estimates for least squares approximation by polynomials

DOI10.1016/0021-9045(84)90090-XzbMath0538.41010MaRDI QIDQ793250

Helmut Brass

Publication date: 1984

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

zbMATH Keywords

error estimationChebyshev polynomialweighted least squares approximationequioscillation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (7)

Error bounds for a near-minimax approximation ⋮ Polynomial approximation using projections whose kernels contain the Chebyshev polynomials ⋮ Improved error bounds for near-minimax approximations ⋮ Error bounds for least squares approximation by polynomials ⋮ Gram polynomials and the Kummer function ⋮ Polynomial approximation errors for functions of low-order continuity ⋮ On the minimal norms of polynomial projections

Cites Work

• Error estimates for interpolatory quadrature formulae
• Some polynomial projections with finite carrier
• Polynomial approximation using equioscillation on the extreme points of Chebyshev polynomials
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