Orthogonal polynomials for exponential weights \(x^{2 \alpha}(1 - x^2)^{2 \rho}e^{-2Q(x)}\) on \([0, 1)\)

DOI10.1515/MATH-2020-0011zbMath1442.42064OpenAlexW3011235086WikidataQ115514349 ScholiaQ115514349MaRDI QIDQ2189221

Rong Liu

Publication date: 15 June 2020

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0011

zbMATH Keywords

orthonormal polynomialsexponential weightsMarkov inequalitiesChristoffel functions

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)

Cites Work

• Generalized Christoffel functions for Jacobi-exponential weights on \([-1, 1\)]
• Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on [0,\(d\))
• Orthonormal polynomials with generalized Freud-type weights.
• The zeros of orthogonal polynomials for Jacobi-exponential weights
• Lagrange interpolation with exponential weights on \(( -1,1)\)
• Lagrange interpolation at Pollaczek-Laguerre zeros on the real semiaxis
• Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on \([0,d)\). II.
• Polynomial inequalities and embedding theorems with exponential weights on \((-1, 1)\)
• Generalized Christoffel functions for Jacobi-exponential weights
• Orthogonal polynomials for Jacobi-exponential weights \((1 - x^2)^\rho e^{-Q(x)}\) on \((-1, 1)\)
• Christoffel functions and orthogonal polynomials for exponential weights on [-1,1]
• Orthogonal polynomials for exponential weights

This page was built for publication: Orthogonal polynomials for exponential weights \(x^{2 \alpha}(1 - x^2)^{2 \rho}e^{-2Q(x)}\) on \([0, 1)\)