The Christoffel Function for Orthogonal Polynomials on a Circular Arc
نویسندگان
چکیده
منابع مشابه
On the Christoffel–darboux Formula for Generalized Matrix Orthogonal Polynomials
We obtain an extension of the Christoffel–Darboux formula for matrix orthogonal polynomials with a generalized Hankel symmetry, including the Adler-van Moerbeke generalized orthogonal polynomials.
متن کاملA Christoffel-Darboux formula for multiple orthogonal polynomials
Bleher and Kuijlaars recently showed that the eigenvalue correlations from matrix ensembles with external source can be expressed by means of a kernel built out of special multiple orthogonal polynomials. We derive a Christoffel-Darboux formula for this kernel for general multiple orthogonal polynomials. In addition, we show that the formula can be written in terms of the solution of the Rieman...
متن کاملChristoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials
We establish asymptotics for Christoffel functions associated with multivariate orthogonal polynomials. The underlying measures are assumed to be regular on a suitable domain in particular this is true if they are positive a.e on a compact set that admits analytic parametrization. As a consequence, we obtain asymptotics for Christoffel functions for measures on the ball and simplex, under far m...
متن کاملOn Christoffel Type Functions for Lm Extremal Polynomials, II
Throughout this paper let m be an even integer and M :=[0, 2, 4, ..., m&2]. Let + be a nondecreasing function on R with infinitely many points of increase such that all moments of d+ are finite. We call d+ a measure. For N # N let PN denote the set of polynomials of degree at most N and P*N the subset of polynomials in PN having real zeros only. We agree P0 *=P0 . Put P*N(x) :=[P # P*N : P(x)=1...
متن کاملA generating function for Laguerre-Sobolev orthogonal polynomials
Let fSng denote the sequence of polynomials orthogonal with respect to the Sobolev inner product
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1999
ISSN: 0021-9045
DOI: 10.1006/jath.1999.3353