Best polynomial approximation on the triangle

DOI10.1016/j.jat.2019.01.005zbMath1414.41018arXiv1711.04756OpenAlexW2964146277WikidataQ128591877 ScholiaQ128591877MaRDI QIDQ1734617

Xianqiang Yang

Publication date: 27 March 2019

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

Full work available at URL: https://arxiv.org/abs/1711.04756

zbMATH Keywords

triangle\(K\)-functionalbest polynomial approximationorthogonal expansion

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Best approximation, Chebyshev systems (41A50) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (3)

The determinant of an elliptic sylvesteresque matrix ⋮ Determinantal elliptic Selberg integrals ⋮ Best polynomial approximation in \(L_w^2 ( S )\) for the simplex \(S\)

Cites Work

• \(BC_n\)-symmetric abelian functions
• Elliptic enumeration of nonintersecting lattice paths
• Approximation by the Bernstein-Durrmeyer operator on a simplex
• \(K\)-moduli, moduli of smoothness, and Bernstein polynomials on a simplex
• Advanced determinant calculus
• Approximation and orthogonality in Sobolev spaces on a triangle
• Weighted approximation of functions on the unit sphere
• Summation and transformation formulas for elliptic hypergeometric series.
• Orthogonal Polynomials of Several Variables
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