The Lebesgue constant for Lagrange interpolation in the simplex

DOI10.1016/0021-9045(88)90010-XzbMath0705.41002MaRDI QIDQ917829

Thomas Bloom

Publication date: 1988

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

zbMATH Keywords

Lebesgue constantLebesgue functionLagrange-Interpolation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (6)

On a generalization of the Lebesgue's constant ⋮ On configurations of points on the sphere and applications to approximation of holomorphic functions by Lagrange interpolants ⋮ The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle ⋮ Whitney edge elements and the Runge phenomenon ⋮ Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation ⋮ On the convergence of multivariable Lagrange interpolants

Cites Work

• Bounding the Lebesgue function for Lagrange interpolatin in a simplex
• Near-best multivariate approximation by Fourier series, Chebyshev series and Chebyshev interpolation
• Extremal plurisubharmonic functions in $C^N$
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