On approximation of functions on the half-line by Laguerre polynomials and functions

DOI10.1134/S1995080222070071OpenAlexW4290000690MaRDI QIDQ2675000

R. Z. Dautov

Publication date: 20 September 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222070071

zbMATH Keywords

weighted Sobolev spaceLaguerre polynomialBernstein's inequalityapproximation by orthogonal polynomials

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Linear function spaces and their duals (46Exx) Approximations and expansions (41Axx)

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
• Sharp estimates for the polynomial approximation in weighted Sobolev spaces
• Polynomial interpolation results in Sobolev spaces
• Weighted \(L^ 2\)-analogues of Bernstein's inequality and classical orthogonal polynomials
• 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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