Orthogonal polynomials and expansions for a family of weight functions in two variables

DOI10.1007/s00365-011-9149-4zbMath1264.33017arXiv1012.5268OpenAlexW1985715427MaRDI QIDQ714939

Yuan Xu

Publication date: 12 October 2012

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5268

zbMATH Keywords

orthogonal polynomialsJacobi polynomialsLebesgue constantsweighted Lebesgue spaceKoornwinder polynomials

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (5)

A new kind of double Chebyshev polynomial approximation on unbounded domains ⋮ QBD processes associated with Jacobi-Koornwinder bivariate polynomials and urn models ⋮ Optimal Points for Cubature Rules and Polynomial Interpolation on a Square ⋮ Minimal cubature rules and polynomial interpolation in two variables ⋮ Minimal cubature rules and polynomial interpolation in two variables. II.

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