Pointwise convergence of Hermite-Fejér interpolation of higher order for Freud weights

DOI10.2748/tmj/1178225757zbMath0807.41004OpenAlexW2082202138MaRDI QIDQ1335555

Ryozi Sakai, Yuichi Kanjin

Publication date: 16 October 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225757

zbMATH Keywords

convergence rateHermite-Fejér interpolation polynomial

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items

Orthonormal polynomials with generalized Freud-type weights. ⋮ Higher order Hermite-Fejér interpolation polynomials with Laguerre-type weights ⋮ Convergence and divergence of higher-order Hermite or Hermite-Fejér interpolation polynomials with exponential-type weights ⋮ Uniform or mean convergence of Hermite-Fejér interpolation of higher order for Freud weights ⋮ On the Hermite-Fejér interpolation based at the zeros of generalized Freud polynomials ⋮ Some properties of orthogonal polynomials for Laguerre-type weights ⋮ Derivatives of orthonormal polynomials and coefficients of Hermite-Fejér interpolation polynomials with exponential-type weights ⋮ The Markov-Bernstein inequality and Hermite-Fejér interpolation for exponential-type weights ⋮ Convergence of Hermite and Hermite-Fejér interpolation of higher order for Freud weights ⋮ Orthonormal polynomials for generalized Freud-type weights and higher-order Hermite-Fejér interpolation polynomials ⋮ Derivatives of integrating functions for orthonormal polynomials with exponential-type weights

Cites Work

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• Estimates of the Hermite and the Freud polynomials
• Estimates of asymmetric Freud polynomials on the real line
• Bounds for certain Freud-type orthogonal polynomials
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Pointwise convergence of Lagrange interpolation based at the zeros of orthonormal polynomials with respect to weights on the whole real line
• Certain unbounded Hermite-Fejér interpolatory polynomial operators
• Замечания ОБ Интерполировании
• On weighted polynomial approximation on the whole real axis
• О лагранжевом интерполировании с узлами в корнях многочленов сонина-маркова
• On countably $R$-closed spaces, II
• Über die (C,1)-Summen der Entwicklungen nach orthogonalen Polynomen