Approximation of functions of variable smoothness by Fourier-Legendre sums

DOI10.1070/SM2000V191N05ABEH000480zbMath0971.42017MaRDI QIDQ4515792

I. I. Sharapudinov

Publication date: 23 November 2000

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

best approximationFourier-Legendre seriesFourier-Legendre expansions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Best approximation, Chebyshev systems (41A50)

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Special series in Laguerre polynomials and their approximation properties ⋮ Approximation properties of Fourier series of Sobolev orthogonal polynomials with Jacobi weight and discrete masses ⋮ On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials ⋮ Unnamed Item ⋮ Sobolev-orthogonal systems of functions associated with an orthogonal system ⋮ Sobolev orthogonal polynomials associated with Chebyshev polynomials of the first kind and the Cauchy problem for ordinary differential equations ⋮ Hermite functions and inner product in Sobolev space ⋮ Sobolev Orthogonal Polynomials Generated by Meixner Polynomials ⋮ Mixed series of Jacobi and Chebyshev polynomials and their discretization ⋮ Sobolev orthogonal polynomials generated by Jacobi and Legendre polynomials, and special series with the sticking property for their partial sums ⋮ Approximation properties of the Vallée-Poussin means of partial sums of a mixed series of Legendre polynomials ⋮ Sobolev-orthogonal systems of functions and some of their applications ⋮ Inner product and Gegenbauer polynomials in Sobolev space ⋮ Fractal Sobolev systems of functions associated with orthonormal systems of functions

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