On the simultaneous approximation of derivatives by Lagrange and Hermite interpolation

DOI10.1016/0021-9045(90)90085-5zbMath0699.41017OpenAlexW2061339081MaRDI QIDQ913165

Katherine Balázs, Theodore Kilgore

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90085-5

zbMATH Keywords

simultaneous approximationHermite interpolation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Simultaneous approximation (41A28)

Related Items

Approximation of Functions on [−1,1 and Their Derivatives by Polynomial Projection Operators], Uniform convergence of derivatives of extended Lagrange interpolation, Convergence of a quadrature formula for variable-signed weight functions, A discussion of simultaneous approximation of derivatives by lagrange interpolation, Fast algorithms for discrete Chebyshev-Vandermonde transforms and applications, Simultaneous Lagrange interpolating approximation need not always be convergent

Cites Work

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• On the optimal Lebesgue constants for polynomial interpolation
• Optimal interpolation with polynomials having fixed roots
• On Lagrange and Hermite interpolation. I
• Some good point systems for derivatives of Lagrange interpolatory operators
• ON THE CONVERGENCE OF THE DERIVATIVES OF PROJECTION OPERATORS
• On the Lebesgue Function for Polynomial Interpolation