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Approximation of functions by Fourier-Laguerre sums

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Publication:1907396
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DOI10.1007/BF02309143zbMath0844.42013MaRDI QIDQ1907396

Vladimir A. Abilov

Publication date: 21 February 1996

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

generalized shift operatorFourier-Laguerre seriesKolmogorov \(n\)-diameterFourier-Laguerre sums


Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)


Related Items (5)

Some estimates for the error in Fourier-Legendre expansions of functions of one variable ⋮ Some inverse theorems for approximation of functions by the Fourier-Laguerre sums ⋮ Approximation by classical orthogonal polynomials with weight in spaces \(L_{2, \gamma }(a,b)\) and widths of some functional classes ⋮ On some estimates for best approximations of bivariate functions by Fourier-Jacobi sums in the mean ⋮ On the best approximation in the mean by algebraic polynomials with weight and the exact values of widths for the classes of functions



Cites Work

  • Another Note on Laguerre Polynomials


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