Some results of bernstein and jackson type for polynomial approximation inL p-spaces

DOI10.1007/BF03167866zbMath0568.41006WikidataQ56996743 ScholiaQ56996743MaRDI QIDQ3684568

Alfio M. Quarteroni

Publication date: 1984

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier seriestruncation errorspectral methodsJackson's theoremChebyshev weightBernstein's theoremsLegendre weightnumerical approximation of partial differential equations

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)

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Cites Work

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• Interpolation of linear operators on Sobolev spaces
• Legendre and Chebyshev spectral approximations of Burgers' equation
• On the rate of convergence of Fourier-Legendre series of functions of bounded variation
• On a class of interpolation spaces
• Problèmes aux limites non homogenes. VI
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces

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