100 years of improvements of bounding properties of Padé approximants to the Stieltjes functions: One-point, two-point and N-point Padé approximants
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Publication:608508
DOI10.1016/j.apnum.2010.05.007zbMath1205.41012OpenAlexW2091397301MaRDI QIDQ608508
Publication date: 25 November 2010
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2010.05.007
Related Items (6)
Hypergeometric functions as generalized Stieltjes transforms ⋮ Approximation of smooth functions by weighted means of \(N\)-point Padé approximants ⋮ The multipoint Padé approximation problem and its Hankel vector ⋮ Magic efficiency of the approximation of smooth functions by weighted means of two \(N\)-point Padé approximants ⋮ Generalized Stieltjes functions and their exact order ⋮ Distributions of zeros and poles of \(N\)-point Padé approximants to complex-symmetric functions defined at complex points
Cites Work
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- Estimation of a Stieltjes function expanded to Taylor series at complex conjugate points
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- Quadrature on the half line and two-point Padé approximants to Stieltjes functions. III: The unbounded case
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- Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. I. Algebraic aspects
- Two-point Padé approximants for the expansions of Stieltjes functions in real domain
- A class of orthogonal polynomials
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- On the relation between measures defining the Stieltjes and the inverted Stieltjes functions
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