Unicity of best one-sided L//1-approximations

DOI10.1007/BF01400541zbMath0492.41051MaRDI QIDQ1167894

Hans Strauss

Publication date: 1982

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132827

zbMATH Keywords

one-sided L1-approximationU-spaceU1-spaceunicity-spaceweak Chebyshev subspaces

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Approximate quadratures (41A55)

Related Items (7)

Approximation by generalized splines ⋮ On one-sided spline approximation operators ⋮ Comparison theorems for monosplines and best one-sided approximation ⋮ Global unicity in semi-infinite optimization ⋮ Uniqueness in best one-sided \(L_ 1\)-approximation by algebraic polynomials on unbounded intervals ⋮ On tchebycheffian monosplines and approximation by splines with free knots ⋮ Unicity in one-sided \(L_ 1\)-approximation and quadrature formulae

Cites Work

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• One-sided \(L^1\) approximation by splines with fixed knots
• On the number of zeros of functions in a weak Tchebyshev-Space
• Subspaces of weak and oriented Tchebyshev-spaces
• Eigenschaften von schwach tschebyscheffschen Räumen
• On polynomials of best one sided approximation
• Equioscillation under nonuniqueness in the approximation of continuous functions
• Moment Theory for Weak Chebyshev Systems with Applications to Monosplines, Quadrature Formulae and Best One-Sided $L^1 $-Approximation by Spline Functions with Fixed Knots
• The Existence and Unicity of Best Approximations.
• One-sided approximation of functions

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