The supremum norm of reciprocals of Christoffel functions for Erdős weights

DOI10.1016/0021-9045(90)90107-2zbMath0716.42021OpenAlexW2033462048MaRDI QIDQ753072

T. Z. Mthembu, Doron S. Lubinsky

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90107-2

zbMATH Keywords

polynomial growthorthonormal polynomialsChristoffel functionErdős weightsMhaskar- Rahmanov-Saff number

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10)

Related Items

Orthogonal expansions and the error of weighted polynomial approximation for erdös weights, \(L_ p\) Markov-Bernstein inequalities for Erdős weights, Hermite and Hermite-Fejér interpolation and associated product integration rules on the real line: The \(L_ \infty\) theory, Mean convergence of Lagrange interpolation for Erdős weights

Cites Work

• Unnamed Item
• Unnamed Item
• \(L_{\infty}\) Markov and Bernstein inequalities for Erdős weights
• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
• Weighted polynomial inequalities
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Weights on the real line that admit good relative polynomial approximation, with applications
• Canonical products and the weights \(\exp (-| x| ^{\alpha})\), \(\alpha >1\), with applications
• Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\)
• On Markov-Bernstein-type inequalities and their applications
• Plancherel-Rotach-type asymptotics for orthogonal polynomials associated with \(\exp (-x^ 6/6)\)
• A class of orthogonal polynomials
• Extremal Problems for Polynomials with Exponential Weights
• Asymptotics for Orthogonal Polynomials Associated with $\exp ( - x^4 )$
• Sur L'Approximation Polynomiale Avec Poids exp(-|x|)