On Nevai's characterization of measures with almost everywhere positive derivative

DOI10.1016/0021-9045(90)90102-VzbMath0758.42015MaRDI QIDQ1813615

Xin Li, Edward B. Saff

Publication date: 25 June 1992

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsLebesgue decompositionBorel measureTurán-type inequalitiesfinite positive measure on the unit circlepositive differential

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items

Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle, Schur's algorithm, orthogonal polynomials, and convergence of Wall's continued fractions in \(L^2(\mathbb{T})\)., Strong and weak convergence of orthogonal systems of rational functions on the unit circle

Cites Work

• Behavior of best \(L_ p\) polynomial approximants on the unit interval and on the unit circle
• Weakly convergent sequences of functions and orthogonal polynomials
• Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle
• Characterization of measures associated with orthogonal polynomials on the unit circle
• A class of orthogonal polynomials
• Jump Distributions on [ -1, 1 whose Orthogonal Polynomials have Leading Coefficients with Given Asymptotic Behavior]
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
• Strong and Weak Convergence of Orthogonal Polynomials