Unicity of best one-sided L1-approximations for certain classes of spline functions

DOI10.1080/01630568208816126zbMath0498.41017OpenAlexW2035437280MaRDI QIDQ3963506

Manfred Sommer, Hans Strauss

Publication date: 1982

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568208816126

zbMATH Keywords

quadrature formulaespline subspacesfinite dimensional subspacesbest one-sided L1-approximations

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Uniqueness of best approximation (41A52) Spline approximation (41A15) Approximate quadratures (41A55) Approximation by other special function classes (41A30)

Related Items

Approximation by generalized splines, Interpolation by generalized splines, Unicity in one-sided \(L_ 1\)-approximation and quadrature formulae

Cites Work

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• Characterization of Continuous Selections for the Metric Projection for Generalized Splines
• 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
• One-sided approximation of functions