\(N\)-point Padé approximants and two-sided estimates of errors on the real axis for Stieltjes functions
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Publication:1772345
DOI10.1016/j.cam.2003.12.051zbMath1080.41013OpenAlexW2110924853MaRDI QIDQ1772345
Jacek Gilewicz, Maciej Pindor, Stanisław Tokarzewski, Józef Joachim Telega
Publication date: 18 April 2005
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2003.12.051
Related Items (8)
100 years of improvements of bounding properties of Padé approximants to the Stieltjes functions: One-point, two-point and N-point Padé approximants ⋮ Multipoint matrix Padé approximant bounds on effective anisotropic transport coefficients of two-phase media ⋮ Inequalities for bounds on effective transport coefficients of two-phase media from power expansions at real points ⋮ Approximation of smooth functions by weighted means of \(N\)-point Padé approximants ⋮ Magic efficiency of the approximation of smooth functions by weighted means of two \(N\)-point Padé approximants ⋮ Estimation of a Stieltjes function expanded to Taylor series at complex conjugate points ⋮ Inequalities and monotonicity of ratios for generalized hypergeometric function ⋮ Distributions of zeros and poles of \(N\)-point Padé approximants to complex-symmetric functions defined at complex points
Cites Work
- Approximants de Padé
- Inverse Stieltjes iterates and errors of Padé approximants in the whole complex plane
- Inequalities for two-point Padé approximants to the expansions of Stieltjes functions in a real domain
- Continued fractions, two-point Padé approximants and errors in the Stieltjes case
- Optimal inequalities of padé approximant errors in the stieltjes case: closing result
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