Géza Freud, orthogonal polynomials and Christoffel functions. A case study

P Nevai - Journal of approximation theory, 1986 - Elsevier
I. Foreword 2. The thesis 3. Notations 4. Justification of the claim 4.1. A little philosophy Part
1: Orthogonal polynomials on/inite intervals and on the untt crrcle 4.2. One-sided …

[图书][B] Logarithmic potentials with external fields

EB Saff, V Totik - 2013 - books.google.com
In recent years approximation theory and the theory of orthogonal polynomials have
witnessed a dramatic increase in the number of solutions of difficult and previously …

A survey of general orthogonal polynomials for weights on finite and infinite intervals

DS Lubinsky - Acta Applicandae Mathematica, 1987 - Springer
A survey of general orthogonal polynomials for weights on finite and infinite intervals | Acta
Applicandae Mathematicae Skip to main content SpringerLink Account Menu Find a journal …

[图书][B] Orthogonal polynomials for exponential weights

E Levin, DS Lubinsky - 2001 - Springer
The analysis of orthogonal polynomials associated with general weights was a major theme
in classical analysis in the twentieth century, and undoubtedly will continue to grow in …

Adaptive Leja sparse grid constructions for stochastic collocation and high-dimensional approximation

A Narayan, JD Jakeman - SIAM Journal on Scientific Computing, 2014 - SIAM
We propose an adaptive sparse grid stochastic collocation approach based upon Leja
interpolation sequences for approximation of parameterized functions with high-dimensional …

[图书][B] Introduction to the theory of weighted polynomial approximation

HN Mhaskar - 1996 - books.google.com
In this book, we have attempted to explain a variety of different techniques and ideas which
have contributed to this subject in its course of successive refinements during the last 25 …

Equilibrium measure and the distribution of zeros of extremal polynomials

AA Gonchar, EA Rakhmanov - Mathematics of the USSR-Sbornik, 1986 - iopscience.iop.org
EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL
POLYNOMIALS Page 1 Mathematics of the USSR-Sbornik EQUILIBRIUM MEASURE AND THE …

[图书][B] Asymptotics for orthogonal polynomials

W Van Assche - 2006 - books.google.com
Recently there has been a great deal of interest in the theory of orthogonal polynomials. The
number of books treating the subject, however, is limited. This monograph brings together …

On Freud's equations for exponential weights

AP Magnus - Journal of approximation theory, 1986 - Elsevier
Abstract Let {pn} n= 0∞ be the sequence of orthonormal polynomials associated with the
weight exp (− f (x)), x ϵ (−∞,∞), where f is a polynomial of even degree with positive leading …

Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential

W Van Assche, RJ Yánez, JS Dehesa - Journal of Mathematical …, 1995 - pubs.aip.org
The information entropy of the harmonic oscillator potential V (x)= 1/2λ x 2 in both position
and momentum spaces can be expressed in terms of the so‐called ''entropy of Hermite …