Oscillatory and zero properties for perfect splines and monosplines

DOI10.1007/BF02786805zbMath0327.41008MaRDI QIDQ1226238

Alfred S. jun. Cavaretta

Publication date: 1975

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items

Cholesky factorization of positive definite bi-infinite matrices, Landau-Kolmogorov inequality on a finite interval, A special one-sided approximation problem, On the uniqueness of the best uniform extended totally positive monospline, Perfect splines of least uniform deviation, The optimal recovery of smooth functions, Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval, Chebyshev and Zolotarev perfect splines on an interval with zero boundary conditions, On monosplines with odd multiplicity of least norm, Bernstein's comparison theorem and a problem of Braess, Widths of a class of differentiable functions

Cites Work

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• The fundamental theorem of algebra for Tchebycheffian monosplines
• A differential equation approach to interpolation at extremal points
• On monosplines of least deviation
• Sur l'interpolation
• On Polya Frequency Function. III. The Positivity of Translation Determinants With an Application to the Interpolation Problem by Spline Curves