Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights

DOI10.1016/j.cam.2004.03.013zbMath1073.41003OpenAlexW2025598114MaRDI QIDQ1765263

Xianqiang Yang

Publication date: 23 February 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.03.013

zbMATH Keywords

Lagrange interpolationpointwise convergenceexponential weightErdős weight

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10)

Related Items (2)

Approximation by Bézier type of Meyer-König and Zeller operators ⋮ Approximation methods and stability of singular integral equations for Freud exponential weights on the line

Cites Work

• Unnamed Item
• Unnamed Item
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Convergence of the derivatives of Lagrange interpolating polynomials based on the roots of Hermite polynomials
• On Markov-Bernstein-type inequalities and their applications
• Converse and smoothness theorems for Erdős weights in \(L_p\) \((0<p\leq\infty)\)
• Jackson theorems for Erdős weights in \(L_p\) \((0<p\leq \infty)\)
• The Lebesgue function and Lebesgue constant of Lagrange interpolation for Erdős weights
• Bounds for orthogonal polynomials for exponential weights
• Forward and converse theorems of polynomial approximation for exponential weights on \([-1,1\). II]
• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• Marcinkiewicz-Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: Methods, results and open problems, some new, some old
• \(L_p\) boundedness of \((C,1)\) means of orthonormal expansions for general exponential weights
• Convergence of the derivatives of Hermite-Fejér interpolation polynomials of higher order based at the zeros of Freud polynomials
• \((C,1)\) means of orthonormal expansions for exponential weights
• Approximation methods and stability of singular integral equations for Freud exponential weights on the line
• Bounds for weighted Lebesgue functions for exponential weights
• Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)

This page was built for publication: Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights