Mean convergence of Lagrange interpolation for Freud's weights with application to product integration rules
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Publication:1096816
DOI10.1016/0377-0427(87)90040-9zbMath0634.41003OpenAlexW1989294910MaRDI QIDQ1096816
Arnold Knopfmacher, Doron S. Lubinsky
Publication date: 1987
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(87)90040-9
Related Items (16)
Orthonormal polynomials with generalized Freud-type weights. ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Estimates of the orthogonal polynomials with weight \(\exp (-x^ m)\), m an even positive integer ⋮ Full quadrature sums for \(p\)th powers of polynomials with Freud weights ⋮ Orthogonal polynomials for weights close to indeterminacy ⋮ Pointwise convergence of Lagrange interpolation based at the zeros of orthonormal polynomials with respect to weights on the whole real line ⋮ Lagrange interpolation based at the zeros of orthonormal polynomials with Freud weights ⋮ A tribute to Géza Freud ⋮ Hermite and Hermite-Fejér interpolation and associated product integration rules on the real line: The \(L_ \infty\) theory ⋮ Interpolation of entire functions associated with some Freud weights. I ⋮ Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights ⋮ Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials ⋮ 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 ⋮ Bounded quasi-interpolatory polynomial operators ⋮ Mean convergence of Lagrange interpolation for Erdős weights
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