Bounds and inequalities for general orthogonal polynomials on finite intervals

DOI10.1006/jath.1993.1044zbMath0780.42017OpenAlexW2082345047MaRDI QIDQ1801566

Ying Guang Shi

Publication date: 26 January 1994

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1993.1044

zbMATH Keywords

inequalitiesorthogonal polynomialsLagrange interpolationHermite-Fejér interpolationlower boundsChristoffel functionChristoffel numbersorthogonality measureconvergence of orthogonal Fourier series

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (10)

On weighted Lebesgue function type sums ⋮ Necessary and sufficient conditions for mean convergence of orthogonal expansions for Freud weights ⋮ Christoffel functions and mean convergence for Lagrange interpolation for exponential weights ⋮ Notes on Steklov's conjecture in \(L^ p\) and on divergence of Lagrange interpolation in \(L^ p\) ⋮ Mean convergence of interpolatory processes on an arbitrary system of nodes ⋮ Pointwise bounds of orthogonal expansions on the real line via weighted Hilbert transforms ⋮ On normal pointsystems of Hermite-Fejér interpolation of arbitrary order ⋮ Mean convergence of truncated Hermite interpolation on an arbitrary system of nodes ⋮ Necessary conditions for mean convergence of Lagrange interpolation on an arbitrary system of nodes ⋮ Bounds of inequalities for \(L_m\) extremal polynomials

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