On a convergence of the rational-trigonometric-polynomial approximations realized by the roots of the Laguerre polynomials

DOI10.3103/S1068362313060101zbMath1302.41020MaRDI QIDQ471555

J. Herrera, Sumit K. Garg

Publication date: 17 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

convergence accelerationFourier seriesLaguerre polynomialsrational approximationKrylov-Lanczos approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Padé approximation (41A21) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

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Cites Work

• Multivariate modified Fourier series and application to boundary value problems
• Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of \(1/n\)
• A united approach to accelerating trigonometric expansions
• Rational trigonometric approximations using Fourier series partial sums
• On a rational linear approximation of Fourier series for smooth functions
• On an auto-correction phenomenon of the Krylov-Gottlieb-Eckhoff method
• Algebraic Fourier reconstruction of piecewise smooth functions
• Accelerating convergence of trigonometric approximations
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