On polynomial approximation with the weight 363-1363-1363-1

DOI10.1007/BF01958048zbMath0269.41004OpenAlexW1991066072MaRDI QIDQ5686427

Géza Freud

Publication date: 1973

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01958048

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (24)

Robust reprojection methods for the resolution of the Gibbs phenomenon ⋮ Hierarchies of higher order kernels ⋮ The de la Vallée Poussin mean and polynomial approximation for exponential weight ⋮ A convergence theorem for the Pál method of interpolation on the roots of Hermite polynomials ⋮ Exact bounds for orthogonal polynomials associated with exponential weights ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Weights on the real line that admit good relative polynomial approximation, with applications ⋮ First colonization of a spectral outpost in random matrix theory ⋮ Canonical products and the weights \(\exp (-| x| ^{\alpha})\), \(\alpha >1\), with applications ⋮ Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials ⋮ On Hermite functions. II ⋮ On the order of approximation by Fejér means of Hermite-Fourier and Laguerre-Fourier series ⋮ Polynomial approximation with exponential weights ⋮ Lacunary \((0;0,1)\) interpolation on the roots of Jacobi polynomials and their derivatives, respectively. I (Existence, explicit formulae, unicity) ⋮ Polynomial inequalities with an exponential weight on \((0,+\infty)\) ⋮ On the converse theorems of weighted polynomial approximation ⋮ Saturation theorems for Hermite-Fourier series ⋮ Universal relations in asymptotic formulas for orthogonal polynomials ⋮ On Hermite-Fourier series ⋮ (0,1;0)-Interpolation on infinite interval (−∞, +∞) ⋮ Estimates of Christoffel functions of generalized Freud-type weights ⋮ Uniformly convergent representations of functions by rearranged Hermite- Fourier and Freud series expansions ⋮ Plancherel-Rotach-type asymptotics for orthogonal polynomials associated with \(\exp (-x^ 6/6)\) ⋮ Weighted (0,1,3) interpolation on the zeros of Hermite polynomials

Cites Work

• On direct and converse theorems in the theory of weighted polynomial approximation
• On weighted $ℒ_{1}$-approximation by polynomials
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