On Hermite interpolation

DOI10.1006/JATH.2000.3459zbMath0957.41001OpenAlexW2025517319MaRDI QIDQ1577536

Ying Guang Shi

Publication date: 22 March 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3459

zbMATH Keywords

Hermite interpolationHermite-Fejér type interpolationarbitrary systems of nodes

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (11)

Convergence of Gaussian quadrature formulas on infinite intervals ⋮ Convergence of Hermite-Fejér type interpolation of higher order on an arbitrary system of nodes ⋮ On Christoffel type functions for \(L_m\) extremal polynomials. II ⋮ Convergence of Hermite-Fejér type interpolation of higher order on an arbitrary system of nodes ⋮ On normal pointsystems of Hermite-Fejér interpolation of arbitrary order ⋮ Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas ⋮ Convergence of Gaussian quadrature formulas ⋮ Christoffel type functions for \(m\)-orthogonal polynomials ⋮ Convergence of Hermite interpolants on the circle using two derivatives ⋮ The Fast Implementation of Higher Order Hermite--Fejér Interpolation ⋮ A note on the Hermite interpolation

Cites Work

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• Mean convergence of truncated Hermite interpolation on an arbitrary system of nodes
• On the exact order of Lebesgue function type sums of Hermite interpolation
• On the order of magnitude of fundamental polynomials of Hermite interpolation
• Lebesgue function type sums of Hermite interpolations
• A theorem of Grünwald-type for Hermite-Fejér interpolation of higher order
• A solution of problem 26 of P. Turán
• Practically \(\varrho\)-normal pointsystems
• On the theory of interpolation
• On (0, 1, 2) Interpolation in Uniform Metric

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