Sharp estimates for the polynomial approximation in weighted Sobolev spaces

DOI10.1134/S0012266115070071zbMath1327.41003MaRDI QIDQ745266

M. R. Timerbaev, R. Z. Dautov

Publication date: 14 October 2015

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsweighted Sobolev spacesLaguerre weightJacobi weightHermite weightsharp Markov-Bernstein type estimate

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10)

Related Items (3)

On approximation of functions on the half-line by Laguerre polynomials and functions ⋮ Direct and inverse theorems of the approximation of functions by algebraic polynomials and splines in the norms of the Sobolev space ⋮ Well-posedness of boundary-value problems for conditionally well-posed integro-differential equations and polynomial approximations of their solutions

Cites Work

• A sharp error estimate of the best approximation by algebraic polynomials in the weighted space \(L_2(-1,1)\)
• Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
• Polynomial interpolation results in Sobolev spaces
• Optimal estimates for lower and upper bounds of approximation errors in the \(p\)-version of the finite element method in two dimensions
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• The Approximation Theory for thep-Version of the Finite Element Method
• Analysis of Spectral Projectors in One-Dimensional Domains
• Jacobi Polynomials, Weighted Sobolev Spaces and Approximation Results of Some Singularities
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