The uniqueness of the element of best mean approximation to a continuous function using splines with fixed nodes

DOI10.1007/BF01153536zbMath0285.41016OpenAlexW2013743769MaRDI QIDQ1845323

P. V. Galkin

Publication date: 1974

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01153536

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Spline approximation (41A15)

Related Items (17)

Unicity subspaces in \(L^ 1\)-approximation ⋮ A general approach to the study of Chebyshev subspaces in \(L_ 1\)- approximation of continuous functions ⋮ Properties of unicity subspaces in \(L_ 1\)-approximation ⋮ Approximation by generalized splines ⋮ Eindeutigkeit in der \(L_1\)-Approximation ⋮ Best mean approximation by splines satisfying generalized convexity constraints ⋮ Uniqueness of best \(\varphi\)-approximation from the set of splines with infinitely many simple knots ⋮ Some theorems on unicity of multivariateL 1-approximation ⋮ Some results on best L¹-approximation of continuous functions ⋮ One-sided \(L^1\) approximation by splines with fixed knots ⋮ Best \(L^1\) approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines ⋮ \(L_1\)-approximation verallgemeinerter konvexer Funktionen durch Splines mit freien Knoten ⋮ Almost Chebyshev properties for \(L^ 1\)-approximation of continuous functions ⋮ Weak Chebyshev spaces and best L//1-approximation ⋮ Best \(L_ 1\)-approximation ⋮ Some theorems on best \(L_ 1\)-approximation of continuous functions ⋮ On differentiability of the operator of best \(L_ 1\)-approximation

Cites Work

• The fundamental theorem of algebra for Tchebycheffian monosplines
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