Christoffel functions and Turán determinants on several intervals

DOI10.1016/0377-0427(93)90323-4zbMath0790.42013OpenAlexW2023486368MaRDI QIDQ1318451

Walter Van Assche

Publication date: 22 June 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90323-4

zbMATH Keywords

orthogonal polynomialsdensity estimationthree-term recurrence relationChristoffel functionsseveral intervalsTurán determinants

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items

Discrete spectrum of the Jacobi matrix related to recurrence relations with periodic coefficients, A new approach to the generalized trace formula and asymptotics of Turán's determinant for polynomials with asymptotically \(N\)-periodic recurrence coefficients, Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices, The Christoffel function for orthogonal polynomials on a circular arc, Periodic perturbations of unbounded Jacobi matrices. II: Formulas for density., Generalized trace formula and asymptotics of the averaged Turan determinant for polynomials orthogonal with a discrete Sobolev inner product, Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I, Trace formula for orthogonal polynomials with asymptotically 2-periodic recurrence coefficients, Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients. II: Weak asymptotics, Christoffel functions for multiple orthogonal polynomials, Asymptotics for Christoffel functions for general measures on the real line, Inverse Stieltjes iterates and errors of Padé approximants in the whole complex plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle
• Orthogonal polynomials with asymptotically periodic recurrent coefficients
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Approximating the weight function for orthogonal polynomials on several intervals
• Szegö's extremum problem on the unit circle
• Remarks on E. A. Rahmanov's paper On the asymptotics of the ratio of orthogonal polynomials
• Sieved Ultraspherical Polynomials
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
• ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES
• Orthogonal Polynomials on Several Intervals Via a Polynomial Mapping
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS