The Budan-Fourier theorem for splines

DOI10.1007/BF02757722zbMath0303.41006MaRDI QIDQ1216568

Avraham A. Melkman

Publication date: 1975

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items

Near minimax polynomial approximation ⋮ Conditionally poised Birkhoff interpolation problems ⋮ Optimale Quadraturformeln und Perfektsplines ⋮ The Budan-Fourier Theorem and Hermite-Birkhoff Spline Interpolation ⋮ Interpolation by splines satisfying mixed boundary conditions ⋮ On an optimal method for the numerical differentiation of smooth functions ⋮ Splines with maximal zero sets ⋮ Hermite-Birkhoff interpolation by splines ⋮ Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval ⋮ Hermite–Birkhoff interpolation by Hermite–Birkhoff splines ⋮ The zeros of rational splines and complex splines ⋮ Widths of a class of differentiable functions

Cites Work

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• The fundamental theorem of algebra for monosplines satisfying boundary conditions
• Total positivity, interpolation by splines, and Green's functions of differential operators
• On Polya Frequency Function. III. The Positivity of Translation Determinants With an Application to the Interpolation Problem by Spline Curves

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