Periodic monosplines and perfect splines of least norm

DOI10.1007/BF01890575zbMath0639.41007MaRDI QIDQ1100367

Daren Huang, Borislav D. Bojanov

Publication date: 1987

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

optimal recoveryoptimal splineequioscillation propertyminimal uniform normperiodic monosplinesperiodic perfect splines

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation with constraints (41A29) Spline approximation (41A15)

Related Items (1)

Smoothest interpolation in the mean

Cites Work

• Unnamed Item
• Perfect splines of least uniform deviation
• Zeros of spline functions and applications
• Best \(L^1\) approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines
• On monosplines with odd multiplicity of least norm
• On the uniqueness of monosplines and perfect splines of least L//1- and L//2-norm
• A differential equation approach to interpolation at extremal points
• Monosplines of minimal norm and the best quadrature formulae
• Optimal Monosplines with a Maximal Number of Zeros
• BEST QUADRATURE FORMULA FOR SOME CLASSES OF PERIODIC DIFFERENTIABLE FUNCTIONS
• A Moment Problem in L 1 Approximation

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