A rational Stieltjes moment problem.

DOI10.1016/S0096-3003(01)00073-XzbMath1055.30031MaRDI QIDQ1855671

Olav Njåstad, Adhemar Bultheel, Erik Hendriksen, Pablo González-Vera

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

orthogonal rational functionsrational moment problem

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10) Padé approximation (41A21) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60)

Related Items (4)

Natural solutions of rational Stieltjes moment problems ⋮ Positivity of continued fractions associated with rational Stieltjes moment problems ⋮ Orthogonal rational functions on the real half line with poles in \([-\infty,0\)] ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference

Cites Work

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• The convergence of Padé approximants to series of Stieltjes
• Orthogonal rational functions with poles on the unit circle
• A rational moment problem on the unit circle
• Convergence properties related to \(p\)-point Padé approximants of Stieltjes transforms
• Orthogonal rational functions and tridiagonal matrices
• Solutions of the strong Stieltjes moment problem
• A Favard theorem for rational functions
• Convergence of two-point Padé approximants to series of Stieltjes
• An extended Hamburger moment problem
• Positive multipoint Padé continued fractions
• A Strong Stieltjes Moment Problem

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