A tribute to Géza Freud
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Publication:1433342
DOI10.1016/S0021-9045(03)00088-1zbMath1046.41001MaRDI QIDQ1433342
Publication date: 15 June 2004
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02) Software, source code, etc. for problems pertaining to approximations and expansions (41-04)
Cites Work
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- On convergent interpolatory polynomials
- The weighted \(L_ p\)-norms of orthonormal polynomials for Erdös weights
- On the representation of band limited functions using finitely many bits
- On the tractability of multivariate integration and approximation by neural networks
- A characterization of multivariate quasi-interpolation formulas and its applications
- Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
- Géza Freud, orthogonal polynomials and Christoffel functions. A case study
- Mean convergence of Lagrange interpolation for Freud's weights with application to product integration rules
- A proof of Freud's conjecture for exponential weights
- Orthogonal polynomials associated with an infinite interval
- The distribution of zeros of asymptotically extremal polynomials
- Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials
- Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\)
- Converse and smoothness theorems for Erdős weights in \(L_p\) \((0<p\leq\infty)\)
- Polynomial approximation and interpolation on the real line with respect to general classes of weights
- Jackson theorems for Erdős weights in \(L_p\) \((0<p\leq \infty)\)
- The Lebesgue function and Lebesgue constant of Lagrange interpolation for Erdős weights
- Bounded quasi-interpolatory polynomial operators
- On the Lebesgue function of weighted Lagrange interpolation. I: Freud-type weights
- Weighted approximation with varying weight
- Bounds for Lebesgue functions for Freud weights
- 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
- An Erdős-type convergence process in weighted interpolation. II: Exponential weights on \([-1,1\)]
- Asymptotics of orthogonal polynomials: Some old, some new, some identities
- \(L_p\) boundedness of \((C,1)\) means of orthonormal expansions for general exponential weights
- On weighted mean convergence of Lagrange interpolation for general arrays
- \(K\)-functional, weighted moduli of smoothness, and best weighted polynomial approximation on a simplex
- Mean convergence of extended Lagrange interpolation for exponential weights
- Asymptotics for Christoffel functions with varying weights
- Spline approximation by quasiinterpolants
- The asymptotic distribution of general interpolation arrays for exponential weights
- Approximation by weighted polynomials
- \(L_{\infty}\) convergence of interpolation and associated product integration for exponential weights.
- Converse quadrature sum inequalities for Freud weights. II
- Polynomial approximation on infinite intervals with weights having inner zeros
- Bounds for weighted Lebesgue functions for exponential weights. II
- Quadrature sums and Lagrange interpolation for general exponential weights
- When is approximation by Gaussian networks necessarily a linear process?
- Mean convergence of extended Lagrange interpolation with Freud weights
- \((C,1)\) means of orthonormal expansions for exponential weights
- Where are the nodes of good interpolation polynomials on the real line?
- On direct and converse theorems in the theory of weighted polynomial approximation
- A class of orthogonal polynomials
- Approximation methods and stability of singular integral equations for Freud exponential weights on the line
- Extremal Problems for Polynomials with Exponential Weights
- Orthogonal polynomials
- Asymptotics of recurrence coefficients for orthonormal polynomials on the line—Magnus’s method revisited
- Partially one-sided polynomial approxi- mation on the real line
- Approximation with interpolatory constraints
- Orthogonal polynomials for exponential weights
- A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials
- Bounds for weighted Lebesgue functions for exponential weights
- On uniform convergence of sequences of certain linear operators
- An Erdős-type convergence process in weighted interpolation. I. Freud-type weights
- On mean convergence of Hermite-Fejér and Hermite interpolation for Erdős weights
- On \(L^p\)-discrepancy of signed measures
- Convergence of Hermite and Hermite-Fejér interpolation of higher order for Freud weights
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