A newton form for trigonometric Hermite interpolation

DOI10.1007/BF01930853zbMath0411.65005MaRDI QIDQ4197959

Tom Lyche

Publication date: 1979

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Newton formHermite interpolation polynomialtrigonometric divided differencestrigonometric analog

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Numerical interpolation (65D05)

Related Items

Hermite interpolation with trigonometric polynomials ⋮ Piecewise quadratic trigonometric polynomial curves ⋮ Cubic trigonometric polynomial curves with a shape parameter ⋮ Non-polynomial divided differences and B-spline functions ⋮ Piecewise trigonometric Hermite interpolation ⋮ Fourier and barycentric formulae for equidistant Hermite trigonometric interpolation ⋮ On the degree of approximation to periodic functions by a trigonometric spline convolution operator ⋮ FOURIER FORMULAE FOR EQUIDISTANT HERMITE TRIGONOMETRIC INTERPOLATION ⋮ Note on trigonometric divided differences ⋮ Quasi-interpolants based on trigonometric splines ⋮ An interpolating 6-point \(C^2\) non-stationary subdivision scheme ⋮ Harmonic interpolation of Hermite type based on Radon projections with constant distances ⋮ An extension of the theory of orthogonal polynomials and Gaussian quadrature to trigonometric and hyperbolic polynomials ⋮ A family of 4-point odd-ary non-stationary subdivision schemes ⋮ Jackson theorems for generalized polynomials with special applications to trigonometric and hyperbolic functions ⋮ Quadratic trigonometric polynomial curves with a shape parameter

Cites Work

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• A stable recurrence relation for trigonometric B-splines
• Zur trigonometrischen Interpolation