Small perturbations of polynomial meshes

DOI10.1080/00036811.2011.649730zbMath1275.41012OpenAlexW1963596148WikidataQ58279673 ScholiaQ58279673MaRDI QIDQ2841189

Federico Piazzon, Marco Vianello

Publication date: 24 July 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.649730

zbMATH Keywords

multivariate polynomial interpolation(weakly) admissible meshesmultivariate polynomial inequalitiesMarkov compacts

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items (11)

Invariance of polynomial inequalities under polynomial maps ⋮ Optimal polynomial admissible meshes on some classes of compact subsets of \(\mathbb{R}^d\) ⋮ Polynomial fitting and interpolation on circular sections ⋮ Suboptimal Polynomial Meshes on Planar Lipschitz Domains ⋮ Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder ⋮ Pluripotential numerics ⋮ On the constrained mock-Chebyshev least-squares ⋮ Optimal sampling patterns for Zernike polynomials ⋮ A note on total degree polynomial optimization by Chebyshev grids ⋮ Tchakaloff polynomial meshes ⋮ Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies

Cites Work

• Unnamed Item
• Pseudo Leja sequences
• Fekete points and convergence towards equilibrium measures on complex manifolds
• Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle
• On optimal polynomial meshes
• Bivariate Lagrange interpolation at the Padua points: the generating curve approach
• Uniform approximation by discrete least squares polynomials
• Computing approximate Fekete points by QR factorizations of Vandermonde matrices
• Divergence (Runge phenomenon) for least-squares polynomial approximation on an equispaced grid and mock-Chebyshev subset interpolation
• Modified Schwarz-Christoffel mappings using approximate curve factors
• Multivariate Jackson inequality
• Multivariate simultaneous approximation
• Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics
• Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
• Variational Analysis
• Sampling and Stability
• On the derivative of a polynomial

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