Pointwise convergence of Lagrange interpolation based at the zeros of orthonormal polynomials with respect to weights on the whole real line

DOI10.1016/0021-9045(87)90037-2zbMath0653.41002OpenAlexW2009095970MaRDI QIDQ1107752

Arnold Knopfmacher

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90037-2

zbMATH Keywords

Lagrange interpolationweightLebesgue functionsHermite weight

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Interpolation in approximation theory (41A05)

Related Items (4)

Pointwise convergence of Hermite-Fejér interpolation of higher order for Freud weights ⋮ Lagrange interpolation based at the zeros of orthonormal polynomials with Freud weights ⋮ Convergence of modified Lagrange interpolation to \(L_p\)-functions based on the zeros of orthonormal polynomials with Freud weights ⋮ Bounds for certain Freud-type orthogonal polynomials

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• Замечания ОБ Интерполировании
• О лагранжевом интерполировании с узлами в корнях многочленов сонина-маркова

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