Stability properties of disk polynomials

DOI10.1007/s11075-020-00960-3zbMath1464.41002OpenAlexW3037294842MaRDI QIDQ2021763

J. M. Carnicer, Juan Manuel Peña, Esmeralda Mainar

Publication date: 27 April 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-00960-3

zbMATH Keywords

orthogonal polynomialsconditioningLebesgue constantZernike polynomialsdisk polynomials

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Multidimensional problems (41A63) Approximation by polynomials (41A10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

On the stability of the representation of finite rank operators

Uses Software

• DLMF
• LEBFEK

Cites Work

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• Radial orthogonality and Lebesgue constants on the disk
• Computing Fekete and Lebesgue points: Simplex, square, disk
• Continuous and discrete tight frames of orthogonal polynomials for a radially symmetric weight
• Optimal reconstruction of a function from its projections
• Optimally stable multivariate bases
• Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator
• Tensor calculus in polar coordinates using Jacobi polynomials
• Optimal stability of the Lagrange formula and conditioning of the Newton formula
• Generalized Zernike or disc polynomials
• Conditioning of polynomial Fourier sums
• Interpolation on the disk
• Orthogonal polynomials on the disc
• Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode
• Orthogonal Polynomials of Several Variables
• Jacobi polynomial expansions with positive coefficients and imbeddings of projective spaces
• Special Functions and Orthogonal Polynomials
• Representation of reproducing kernels and the Lebesgue constants on the ball

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