Approximation properties of Fourier series of Sobolev orthogonal polynomials with Jacobi weight and discrete masses

DOI10.1134/S0001434617030300zbMath1372.42024MaRDI QIDQ2364570

I. I. Sharapudinov

Publication date: 21 July 2017

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fourier-Sobolev series of Jacobi polynomials and their approximation propertiesmixed series of Jacobi polynomialsSobolev orthogonal Jacobi polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by polynomials (41A10)

Related Items (11)

The kernel regularized learning algorithm for solving Laplace equation with Dirichlet boundary ⋮ On approximation properties of Fourier series in Jacobi polynomials \(P_n^{\alpha-r,-r}(x)\) orthogonal in the sense of Sobolev ⋮ Approximation by polynomials in Sobolev spaces associated with classical moment functionals ⋮ On convergence of Fourier series in discrete Jacobi–Sobolev spaces ⋮ Iterated integrals and Borwein-Chen-Dilcher polynomials ⋮ The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials ⋮ Fourier series for coherent pairs of Jacobi measures ⋮ Discrete-continuous Jacobi-Sobolev spaces and Fourier series ⋮ Sobolev-Orthonormal System of Functions Generated by the System of Laguerre Functions ⋮ Sobolev-orthogonal systems of functions and some of their applications ⋮ A Sobolev orthogonal system of functions generated by a Walsh system

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