Hermite and Hermite-Fejér interpolation and associated product integration rules on the real line: The \(L_ \infty\) theory
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Publication:1198158
DOI10.1016/0021-9045(92)90062-SzbMath0777.41015MaRDI QIDQ1198158
Publication date: 16 January 1993
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Hermite interpolation polynomialsHermite-Féjer interpolation polynomialsweighted \(L^ \infty\) convergence
Related Items (13)
An update on orthogonal polynomials and weighted approximation on the real line ⋮ Convergence and divergence of higher-order Hermite or Hermite-Fejér interpolation polynomials with exponential-type weights ⋮ Explicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomials ⋮ Weighted Fejér constants and Fekete sets ⋮ Weighted Hermite-Fejér interpolation on the real line: \(L_{\infty}\) case ⋮ On the Hermite-Fejér interpolation based at the zeros of generalized Freud polynomials ⋮ The Markov-Bernstein inequality and Hermite-Fejér interpolation for exponential-type weights ⋮ On mean convergence of Hermite-Fejér and Hermite interpolation for Erdős weights ⋮ Convergence of Hermite and Hermite-Fejér interpolation of higher order for Freud weights ⋮ Necessary conditions of convergence of Hermite-Fejér interpolation polynomials for exponential weights ⋮ Weighted uniform convergence of entire Grünwald operators on the real line ⋮ Mean convergence of Lagrange interpolation for Erdős weights ⋮ \(L_{\infty}\) convergence of interpolation and associated product integration for exponential 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
- The supremum norm of reciprocals of Christoffel functions for Erdős weights
- \(L_{\infty}\) Markov and Bernstein inequalities for Erdős weights
- Mean convergence of Hermite-Fejér interpolation
- Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
- Weighted polynomial inequalities
- Mean convergence of Lagrange interpolation for Freud's weights with application to product integration rules
- Sharp Nikolskij inequalities with exponential weights
- \(L_ p\) Markov-Bernstein inequalities for Erdős weights
- Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\)
- On Markov-Bernstein-type inequalities and their applications
- Bernstein and Nikolskii inequalities for Erdős weights
- On the theory of interpolation
- $L_\infty $ Markov and Bernstein Inequalities for Freud Weights
- Rates of Convergence of Gaussian Quadrature for Singular Integrands
- On Integral Functions Having Prescribed Asymptotic Growth. II
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