How well does the Hermite–Padé approximation smooth the Gibbs phenomenon?
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Publication:3168729
DOI10.1090/S0025-5718-2010-02411-1zbMath1223.41008OpenAlexW2054306379MaRDI QIDQ3168729
Valeriy A. Kalyagin, Ana C. Matos, Bernhard Beckermann, Franck Wielonsky
Publication date: 19 April 2011
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-2010-02411-1
Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Padé approximation (41A21) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Simultaneous approximation (41A28)
Related Items (6)
Frobenius-Padé approximants of \(|x|\) ⋮ Upper bounds for the moduli of zeros of Hermite-Padé approximations for a set of exponential functions ⋮ Asymptotics of diagonal Hermite-Padé polynomials for the collection of exponential functions ⋮ On the mathematical nature of Guseinov's rearranged one-range addition theorems for Slater-type functions ⋮ The asymptotic form of the Hermite-Padé approximations for a system of Mittag-Leffler functions ⋮ Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients
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