Polynomial approximation with Pollaczeck-Laguerre weights on the real semiaxis. A survey

DOI10.1553/ETNA_VOL50S36zbMath1406.41002OpenAlexW2901176008WikidataQ128944968 ScholiaQ128944968MaRDI QIDQ1716846

Gradimir V. Milovanović, Incoronata Notarangelo, Giuseppe Mastroianni

Publication date: 5 February 2019

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol50/abstract.php?vol=50&pages=36-51

zbMATH Keywords

orthogonal polynomialsLagrange interpolationweighted polynomial approximationpolynomial inequalitiesGaussian quadrature rulesPollaczeck-Laguerre exponential weights

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Numerical quadrature and cubature formulas (65D32)

Related Items (1)

Lagrange interpolation at Pollaczek-Laguerre zeros on the real semiaxis

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• Gaussian quadrature rules with exponential weights on \((-1,1)\)
• Geometric convergence of Lagrangian interpolation and numerical integration rules over unbounded contours and intervals
• Error estimates for Gauss-Jacobi quadrature formulae with weights having the whole real line as their support
• Gaussian rules on unbounded intervals
• Polynomial inequalities with an exponential weight on \((0,+\infty)\)
• A Nyström method for a class of Fredholm integral equations on the real semiaxis
• Polynomial approximation with an exponential weight on the real semiaxis
• On interpolation. I. Quadrature- and mean-convergence in the Lagrange- interpolation
• Gaussian quadrature rules with an exponential weight on the real semiaxis
• Interpolation Processes
• A Lagrange-type projector on the real line
• Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
• Orthogonal polynomials for exponential weights

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