DOI10.1007/BF01890023zbMath0582.41009OpenAlexW1978794151MaRDI QIDQ1069075
Edward B. Saff, Hrushikesh N. Mhaskar
Publication date: 1985
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01890023
A sharp inequality of Markov type for polynomials associated with Laguerre weight ⋮
Green equilibrium measures and representations of an external field ⋮
Quadrature sums and Lagrange interpolation for general exponential weights ⋮
Fast decreasing polynomials via potentials ⋮
An update on orthogonal polynomials and weighted approximation on the real line ⋮
Weighted polynomial approximation ⋮
The support of the equilibrium measure in the presence of a monomial external field on $[-1,1$] ⋮
Equilibrium measure and limit zeros distribution of extremal weighted polynomials ⋮
Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮
Weighted polynomial approximation with Freud weights ⋮
Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on \([0,d)\). II. ⋮
On Freud's equations for exponential weights ⋮
Weighted polynomials, radial basis functions and potentials on locally compact spaces ⋮
NTH ROOT ASYMPTOTICS FOR EXTREMAL ERRORS ASSOCIATED WITH SLOWLY DECREASING WEIGHTS ⋮
Mean convergence of Lagrange interpolation for Freud's weights with application to product integration rules ⋮
Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials ⋮
Necessary and sufficient conditions for mean convergence of orthogonal expansions for Freud weights ⋮
Freud's conjecture and approximation of reciprocals of weights by polynomials ⋮
Uniform and mean approximation by certain weighted polynomials, with applications ⋮
Asymptotic behaviour of the ratio of Christoffel functions for weights \(W^ 2\) and \(W^ 2g\) ⋮
Full quadrature sums for \(p\)th powers of polynomials with Freud weights ⋮
Reverse triangle inequalities for potentials ⋮
A proof of Freud's conjecture for exponential weights ⋮
Forward and converse theorems of polynomial approximation for exponential weights on \([-1,1\). I] ⋮
Forward and converse theorems of polynomial approximation for exponential weights on \([-1,1\). II] ⋮
Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials ⋮
Asymptotics of sharp constants in Markov-Bernstein-Nikolskii type inequalities with exponential weights ⋮
Freud’s conjecture for exponential weights ⋮
On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory ⋮
Interval of equilibrium for the logarithmic potential of an extremal measure with a constraint, and the continuum limit of the Toda lattice ⋮
The role of the endpoint in weighted polynomial approximation with varying weights ⋮
On a class of equilibrium problems in the real axis ⋮
Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method ⋮
Concerning a polynomial inequality due to Freud ⋮
Equioscillatory property of the Laguerre polynomials ⋮
Asymptotics for entropy integrals associated with exponential weights ⋮
Regularity of the minimiser of one-dimensional interaction energies ⋮
Biorthonormal systems in Freud-type weighted spaces with infinitely many zeros -- an interpolation problem ⋮
Stochastic Collocation Methods via $\ell_1$ Minimization Using Randomized Quadratures ⋮
The rate of convergence of expansions in Freud polynomials ⋮
\(L_{\infty}\) Markov and Bernstein inequalities for Erdős weights ⋮
Weighted approximation for weak convex external fields ⋮
Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere: The Exceptional Case ⋮
Computation of induced orthogonal polynomial distributions ⋮
Dynamics of supports of extremal measures in the field of a point charge ⋮
Riesz external field problems on the hypersphere and optimal point separation ⋮
Fast decreasing rational functions ⋮
A tribute to Géza Freud ⋮
The distribution of zeros of asymptotically extremal polynomials ⋮
\(L_ p\) Markov-Bernstein inequalities for Erdős weights ⋮
\((C,1)\) means of orthonormal expansions for exponential weights ⋮
Uniform convergence of polynomials associated with varying Jacobi weights ⋮
On fluctuations of eigenvalues of random Hermitian matrices. ⋮
Where are the nodes of good interpolation polynomials on the real line? ⋮
Weighted Hermite-Fejér interpolation on the real line: \(L_{\infty}\) case ⋮
A characterization of weighted Chebyshev constant ⋮
Weighted analogues of capacity, transfinite diameter, and Chebyshev constant ⋮
A minimax problem for sums of translates on the torus ⋮
The weighted \(L_ p\)-norms of orthonormal polynomials for Erdös weights ⋮
Bernstein inequalities with nondoubling weights ⋮
On external fields created by fixed charges ⋮
Hermite and Hermite-Fejér interpolation and associated product integration rules on the real line: The \(L_ \infty\) theory ⋮
Weighted Lagrange interpolation with preassigned nodes on the real line ⋮
Interpolation of entire functions associated with some Freud weights. I ⋮
A variational representation of solutions to a certain hyperbolic system of equations by using a logarithmic potential in the external field ⋮
Jackson and Bernstein theorems for the weight \(\exp(-|x|)\) on \(\mathbb R\) ⋮
What distributions of points are possible for convergent sequences of interpolatory integration rules! ⋮
Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights ⋮
Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials ⋮
New charge simulation method for numerical conformal mapping of ring domains ⋮
Direct and inverse problems for vector logarithmic potentials with external fields ⋮
Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on [0,\(d\)) ⋮
Quantum information entropies and orthogonal polynomials ⋮
Error estimates of Lagrange interpolation and orthonormal expansions for Freud weights ⋮
Phase transitions and equilibrium measures in random matrix models ⋮
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 ⋮
Bounds for certain Freud-type orthogonal polynomials ⋮
The supremum norm of reciprocals of Christoffel functions for Erdős weights ⋮
Jackson theorems for Erdős weights in \(L_p\) \((0<p\leq \infty)\) ⋮
On Sobolev orthogonal polynomials with coherent pairs: The Laguerre case, type 1 ⋮
Some discrepancy theorems in the theory of weighted polynomial approximation ⋮
Riesz extremal measures on the sphere for axis-supported external fields ⋮
Bounded quasi-interpolatory polynomial operators ⋮
Smallest eigenvalues of Hankel matrices for exponential weights ⋮
On the maximum value of a confluent hypergeometric function ⋮
The asymptotic distribution of zeros of minimal Blaschke products ⋮
Integrability-preserving regularizations of Laplacian Growth ⋮
Transition distributions of Young diagrams under periodically weighted Plancherel measures ⋮
Strong asymptotics for Laguerre polynomials with varying weights ⋮
Orthogonal polynomials with respect to varying weights ⋮
Bounds for orthogonal polynomials for exponential weights ⋮
Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights ⋮
The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients ⋮
Condition numbers of Hankel matrices for exponential weights ⋮
Large deviations from the circular law ⋮
The electrostatic properties of zeros of exceptional Laguerre and Jacobi polynomials and stable interpolation ⋮
Eigenvalue Density of the Wishart Matrix and Large Deviations ⋮
Distributing many points on spheres: minimal energy and designs ⋮
Estimates of Freud-Christoffel functions for some weights with the whole real line as support
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