Generalized Christoffel functions for Jacobi-exponential weights on \([-1, 1]\)

DOI10.1007/s10474-015-0542-5zbMath1374.42050OpenAlexW4253078951MaRDI QIDQ519940

Yong-Cai Geng, Sumit K. Garg

Publication date: 31 March 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-015-0542-5

zbMATH Keywords

orthogonal polynomialgeneralized Christoffel functionJacobi-exponential weightrestricted range inequality

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 (3)

The zeros of orthogonal polynomials and Markov-Bernstein inequalities for Jacobi-exponential weights on \((-1,1)\) ⋮ Orthogonal polynomials for exponential weights \(x^{2 \alpha}(1 - x^2)^{2 \rho}e^{-2Q(x)}\) on \([0, 1)\) ⋮ The zeros of orthogonal polynomials for Jacobi-exponential weights

Cites Work

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• \(L^{p}\)-convergence of Fourier sums with 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.
• 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
• Christoffel functions and orthogonal polynomials for exponential weights on [-1,1]
• Orthogonal polynomials for exponential weights

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