Some new results on orthogonal polynomials for Laguerre type exponential weights

DOI10.1007/S10474-018-0841-8zbMath1424.42054OpenAlexW2804150045WikidataQ115605379 ScholiaQ115605379MaRDI QIDQ1669677

Péter Vértesi, Incoronata Notarangelo, Giuseppe Mastroianni, László Szili

Publication date: 3 September 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-018-0841-8

zbMATH Keywords

weighted interpolationorthogonal polynomialLaguerre weightexponential weightweighted Lebesgue functionroot-distance

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (3)

A note on Hermite-Fejér interpolation at Laguerre zeros ⋮ Lagrange interpolation polynomials for Laguerre-type weights ⋮ Lagrange interpolation at Pollaczek-Laguerre zeros on the real semiaxis

Cites Work

• Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on [0,\(d\))
• Notes on orthogonal polynomials for exponential weights
• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• An Erdős-type convergence process in weighted interpolation. II: Exponential weights on \([-1,1\)]
• Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on \([0,d)\). II.
• Orthogonal polynomials for exponential weights
• An Erdős-type convergence process in weighted interpolation. I. Freud-type weights

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