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Some estimates for the error in Fourier-Legendre expansions of functions of one variable - MaRDI portal

Some estimates for the error in Fourier-Legendre expansions of functions of one variable (Q325511)

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scientific article; zbMATH DE number 6640306
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Some estimates for the error in Fourier-Legendre expansions of functions of one variable
scientific article; zbMATH DE number 6640306

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    Some estimates for the error in Fourier-Legendre expansions of functions of one variable (English)
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    18 October 2016
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    The authors consider nonperiodic functions of one variable and their approximation by Legendre polynomials. The rate of convergence of the Fourier-Legendre series which are used for expansions of functions in one variable is estimated. The results are new and analogs to previous results obtained by using Hermite polynomials.
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    Fourier-Legendre series
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    approximation theory
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