Properties of unicity subspaces in \(L_ 1\)-approximation

DOI10.1016/0021-9045(88)90042-1zbMath0643.41023OpenAlexW1963929401MaRDI QIDQ1101911

Manfred Sommer

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90042-1

zbMATH Keywords

A-subspaceL\({}_ 1\)-approximation

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)

Related Items (1)

One-sidedL¹Norm and Best Approximation in One-sidedL¹Norm

Cites Work

• Best \(L_ 1\)-approximation
• Weak Chebyshev spaces and best L//1-approximation
• Some theorems on best \(L_ 1\)-approximation of continuous functions
• Unicity subspaces in \(L^ 1\)-approximation
• Necessary conditions for uniqueness in \(L^ 1\)-approximation
• Eindeutigkeit in der \(L_1\)-Approximation
• Weak Chebyshev subspaces and alternation
• On uniqueness of \(L_1\)-approximation for certain families of spline functions
• On the number of zeros of functions in a weak Tchebyshev-Space
• Subspaces of weak and oriented Tchebyshev-spaces
• Eigenschaften von schwach tschebyscheffschen Räumen
• The uniqueness of the element of best mean approximation to a continuous function using splines with fixed nodes
• Equioscillation under nonuniqueness in the approximation of continuous functions
• Some results on best L¹-approximation of continuous functions
• On an L 1 -Approximation Problem
• Examples of unicity subspaces in L₁-approximation
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