Asymptotics for entropy integrals associated with exponential weights

DOI10.1016/S0377-0427(02)00915-9zbMath1028.33008OpenAlexW2067902544MaRDI QIDQ1398702

Eli Levin, Doron S. Lubinsky

Publication date: 7 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00915-9

zbMATH Keywords

orthonormal polynomialsFreud weightsexponential weightsentropy integralsasymptotic estimations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (2)

Shannon entropy of symmetric Pollaczek polynomials ⋮ Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Bounds for orthogonal polynomials for exponential weights
• Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights
• Entropic integrals of orthogonal hypergeometric polynomials with general supports
• Asymptotics for orthogonal polynomials
• Where Does the L p -Norm of a Weighted Polynomial Live?
• Families of equilibrium measures in an external field on the real axis
• ASYMPTOTIC BEHAVIOR OF THEL^p-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS
• Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential
• Quantum information entropies and orthogonal polynomials

This page was built for publication: Asymptotics for entropy integrals associated with exponential weights