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

DOI10.1007/s10474-013-0338-4zbMath1299.42089OpenAlexW2039821819MaRDI QIDQ2448976

Yanyan Li

Publication date: 5 May 2014

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

Full work available at URL: https://doi.org/10.1007/s10474-013-0338-4

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 (4)

The zeros of orthogonal polynomials and Markov-Bernstein inequalities for Jacobi-exponential weights on \((-1,1)\) ⋮ New type of Gegenbauer-Jacobi-Hermite monogenic polynomials and associated continuous Clifford wavelet transform. Some monogenic Clifford polynomials and associated wavelets ⋮ Orthogonal polynomials for exponential weights \(x^{2 \alpha}(1 - x^2)^{2 \rho}e^{-2Q(x)}\) on \([0, 1)\) ⋮ New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets

Cites Work

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

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