Lebesgue constant using sinc points

DOI10.1155/2016/6758283zbMath1422.65032OpenAlexW2521479971WikidataQ59123149 ScholiaQ59123149MaRDI QIDQ1750803

Gerd Baumann, Maha Youssef, Hany A. El-Sharkawy

Publication date: 23 May 2018

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/6758283

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (8)

Adaptive piecewise Poly-Sinc methods for function approximation ⋮ Polynomial-Sinc collocation method combined with the Legendre-Gauss quadrature rule for numerical solution of distributed order fractional differential equations ⋮ Fractional Fokker-Planck equation ⋮ Troesch's problem solved by sinc methods ⋮ Discontinuous Galerkin methods using poly-sinc approximation ⋮ Poly-Sinc solution of stochastic elliptic differential equations ⋮ Convergence rate estimation of poly-sinc-based discontinuous Galerkin methods ⋮ Poly-Sinc Collocation Method for Solving Coupled Burgers’ Equations with a Large Reynolds Number

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bounding the Lebesgue constant for Berrut's rational interpolant at general nodes
• On Lebesgue constants of local parabolic splines
• On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
• Matrices for the direct determination of the barycentric weights of rational interpolation
• Reusing Chebyshev points for polynomial interpolation
• Rational functions for guaranteed and experimentally well-conditioned global interpolation
• Two results on polynomial interpolation in equally spaced points
• Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
• Weighted interpolation for equidistant nodes
• An improved upper bound on the Lebesgue constant of Berrut's rational interpolation operator
• Fehlerfortpflanzung bei Interpolation
• Barycentric rational interpolation with no poles and high rates of approximation
• Problems and results on the theory of interpolation. II
• Some New Aspects of Rational Interpolation
• On the Lebesgue Function for Polynomial Interpolation
• A Practical Guide to Pseudospectral Methods
• The Lebesgue Constant for Sinc Approximations
• Improved Approximation via Use of Transformations
• An Extension of the Floater–Hormann Family of Barycentric Rational Interpolants

This page was built for publication: Lebesgue constant using sinc points