On an Asymptotic Equality for Reproducing Kernels and Sums of Squares of Orthonormal Polynomials

DOI10.1007/978-3-319-49242-1_7zbMath1372.42021OpenAlexW2605256968MaRDI QIDQ5348594

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Publication date: 18 August 2017

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-49242-1_7

zbMATH Keywords

orthogonal polynomialsChristoffel functionsrecurrence coefficients

Mathematics Subject Classification ID

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

Related Items (4)

Periodic perturbations of unbounded Jacobi matrices. I: Asymptotics of generalized eigenvectors. ⋮ Periodic perturbations of unbounded Jacobi matrices. II: Formulas for density. ⋮ Asymptotic behaviour of some families of orthonormal polynomials and an associated Hilbert space ⋮ Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I

Cites Work

• Asymptotic behaviour of some families of orthonormal polynomials and an associated Hilbert space
• Extensions of Szegö's theory of orthogonal polynomials. III
• Szegö's extremum problem on the unit circle
• A class of orthogonal polynomials
• Extremal Problems for Polynomials with Exponential Weights
• Where Does the L p -Norm of a Weighted Polynomial Live?
• THE ASYMPTOTIC BEHAVIOR OF ORTHOGONAL POLYNOMIALS
• Orthogonal polynomials for exponential weights
• A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials

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