Eigenschaften von schwach tschebyscheffschen Räumen

DOI10.1016/0021-9045(77)90087-9zbMath0374.41015OpenAlexW1993100796MaRDI QIDQ1245364

Hans Strauss, Manfred Sommer

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-9045(77)90087-9

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (23)

Unicity of best one-sided L¹-approximations for certain classes of spline functions ⋮ Unicity subspaces in \(L^ 1\)-approximation ⋮ Properties of unicity subspaces in \(L_ 1\)-approximation ⋮ On Tchebysheff Systems ⋮ Weak Tchebyshev-spaces and generalizations of a theorem by Krein ⋮ Continuous selections for the metric projection and alternation ⋮ Einige Eigenschaften schwacher Tschebyscheff-Systeme ⋮ Eindeutigkeit in der \(L_1\)-Approximation ⋮ Existence of pointwise-Lipschitz-continuous selections of the metric projection for a class of Z-spaces ⋮ Finite dimensional subspaces and alternation ⋮ Unicity of best one-sided L//1-approximations ⋮ Uniqueness of best \(\varphi\)-approximation from the set of splines with infinitely many simple knots ⋮ Oscillation spaces ⋮ Continuous selections of the metric projection for 1-Chebyshev spaces ⋮ Strictly totally positive systems ⋮ Interpolation by generalized splines ⋮ Weak Chebyshev spaces and best L//1-approximation ⋮ Degeneracy in WT-spaces ⋮ Some hereditary properties of WT-systems ⋮ Best \(L_ 1\)-approximation ⋮ Alternants for generalized convex functions ⋮ A characterization of pointwise-lipschitz-continuous selections for the metric projection ⋮ Lipschitz continuity and strong unicity in G. Freud's work

Cites Work

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• Weak Chebyshev sets and splines
• Tchebyshev systems that cannot be transformed into Markov systems
• On transforming a Tchebyshev-system into a Markov-system
• Equioscillation under nonuniqueness in the approximation of continuous functions
• On continuous selections for metric projections in spaces of continuous functions

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