How sharp is Bernstein's inequality for Jacobi polynomials?

zbMath1189.33016MaRDI QIDQ964116

Walter Gautschi

Publication date: 14 April 2010

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225564

zbMATH Keywords

Jacobi polynomialssharpnessBernstein's inequalityErdélyi-magnus-nevai conjecture

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (8)

Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator ⋮ Infinite-dimensional compressed sensing and function interpolation ⋮ Application of the Liouville-Steklov method to estimation of error of a Hilb type formula for Jacobi polynomials ⋮ Monte Carlo with determinantal point processes ⋮ Inequalities for Jacobi polynomials ⋮ Luigi Gatteschi's work on asymptotics of special functions and their zeros ⋮ Experimental Mathematics Involving Orthogonal Polynomials ⋮ BIJ

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