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On the uniqueness of general monosplines of least \(L_ p\)-norm

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Publication:1075543
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DOI10.1007/BF01893418zbMath0592.41038MaRDI QIDQ1075543

N. Richter-Dyn, Dietrich Braess

Publication date: 1986

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


zbMATH Keywords

perfect splinesPolya frequency functionuniqueness of monosplines


Mathematics Subject Classification ID

Uniqueness of best approximation (41A52) Spline approximation (41A15)




Cites Work

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  • Generalized monosplines and optimal approximation
  • Generalized Gaussian quadrature formulas
  • Best approximations by smooth functions
  • On monosplines with odd multiplicity of least norm
  • A necessary condition for best approximation in monotone and sign- monotone norms
  • On the uniqueness of monosplines and perfect splines of least L//1- and L//2-norm
  • A second look at approximate quadrature formulae and spline interpolation
  • Chebyshev approximation by \(\gamma\)-polynomials. I
  • Kritische Punkte bei der nichtlinearen Tschebyscheff-Approximation
  • Nonuniqueness of best Lp-approximation for generalized convex functions by splines with free knots
  • On Multiple Node Gaussian Quadrature Formulae
  • Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines
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