One-sided \(L^1\) approximation by splines with fixed knots

DOI10.1016/0021-9045(76)90101-5zbMath0337.41014OpenAlexW2067756230MaRDI QIDQ1230045

Allan Pinkus

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-9045(76)90101-5

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (8)

Unicity of best one-sided L¹-approximations for certain classes of spline functions ⋮ Approximation by generalized splines ⋮ A special one-sided approximation problem ⋮ Best mean approximation by splines satisfying generalized convexity constraints ⋮ Unicity of best one-sided L//1-approximations ⋮ On one-sided spline approximation operators ⋮ Global unicity in semi-infinite optimization ⋮ Unicity in one-sided \(L_ 1\)-approximation and quadrature formulae

Cites Work

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• Best \(L^1\) approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines
• The uniqueness of the element of best mean approximation to a continuous function using splines with fixed nodes
• On polynomials of best one sided approximation
• The fundamental theorem of algebra for Tchebycheffian monosplines
• 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

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