Interpolation by splines satisfying mixed boundary conditions

DOI10.1007/BF02757500zbMath0303.41007MaRDI QIDQ1216569

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 (16)

Interpolation by periodic splines with Birkhoff knots ⋮ Multiple node splines with boundary conditions: The fundamental theorem of algebra for monosplines and Gaussian quadrature formulae for splines ⋮ Optimale Quadraturformeln und Perfektsplines ⋮ On n-widths and interpolation by polynomial splines ⋮ Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines ⋮ On an optimal method for the numerical differentiation of smooth functions ⋮ Spectral properties and oscillation theorems for mixed boundary-value problems of Sturm-Liouville type ⋮ Splines with maximal zero sets ⋮ Hermite-Birkhoff interpolation by splines ⋮ \(L_1\)-approximation verallgemeinerter konvexer Funktionen durch Splines mit freien Knoten ⋮ Comparison of optimal quadrature formulas ⋮ Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines ⋮ A fast algorithm for Gaussian type quadrature formulae with mixed boundary conditions and some lumped mass spectral approximations ⋮ The zeros of rational splines and complex splines ⋮ Widths of a class of differentiable functions ⋮ On polynomial monosplines with fixed point evaluations

Cites Work

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• The fundamental theorem of algebra for monosplines satisfying boundary conditions
• The Budan-Fourier theorem for splines
• The question of uniqueness for G.D. Birkhoff interpolation problems
• Periodic boundary-value problems with cyclic totally positive Green's functions with applications to periodic spline theory
• Total positivity, interpolation by splines, and Green's functions of differential operators
• Bemerkung zur Interpolation und zur Näherungstheorie der Balkenbiegung
• Characterization of Chebyshev Approximations by Splines
• On Polya Frequency Function. III. The Positivity of Translation Determinants With an Application to the Interpolation Problem by Spline Curves

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