Rational interpolation. I: Least square convergence

DOI10.1016/j.jmaa.2012.05.047zbMath1254.41002OpenAlexW2045453610MaRDI QIDQ448233

Adhemar Bultheel, Karl Deckers

Publication date: 30 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.047

zbMATH Keywords

rational interpolationorthogonal rational functionsleast square convergence

Mathematics Subject Classification ID

Least squares and related methods for stochastic control systems (93E24) Interpolation in approximation theory (41A05) Numerical quadrature and cubature formulas (65D32)

Related Items (1)

Rational interpolation. II: Quadrature and convergence

Cites Work

• Orthogonality, interpolation and quadratures on the unit circle and the interval \([-1,1\)]
• Positive rational interpolatory quadrature formulas on the unit circle and the interval
• Quadrature formulas on the unit circle based on rational functions
• Recurrence and asymptotics for orthonormal rational functions on an interval
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• ORTHOGONAL RATIONAL FUNCTIONS AND INTERPOLATORY PRODUCT RULES ON THE UNIT CIRCLE
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