Determination of a minimal projection fromC[-1, 1] onto the quadratics

DOI10.1080/01630569008816357zbMath0689.41022OpenAlexW2037862437MaRDI QIDQ3031420

Frederic T. Metcalf, Bruce L. Chalmers

Publication date: 1990

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569008816357

zbMATH Keywords

normquadratic polynomialsminimal projections

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15)

Related Items (13)

On the best conditioned bases of quadratic polynomials ⋮ Determining projection constants of univariate polynomial spaces ⋮ A lower bound of the strongly unique minimal projection constant of \(\ell ^n_\infty\), \(n\geqslant 3\) ⋮ On the dimension of the set of minimal projections ⋮ Boun asymptoticds for projection operators on lebesgue spaces ⋮ Minimal Projections with Respect to Numerical Radius ⋮ Minimal shape-preserving projections onto Π_n ⋮ Numerical estimation of projection constants ⋮ Uniqueness of minimal projections in smooth matrix spaces ⋮ Minimal Multi-Convex Projections Onto Subspaces of Incomplete Algebraic Polynomials ⋮ Computation of Minimal Projections and Extensions ⋮ Minimal extensions in tensor product spaces ⋮ Minimal numerical-radius extensions of operators

Cites Work

• On the existence and characterization of minimal projections.

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