Bounded quasi-interpolatory polynomial operators

DOI10.1006/jath.1998.3220zbMath0920.42019OpenAlexW2010602629MaRDI QIDQ1279881

Jürgen Prestin, Hrushikesh N. Mhaskar

Publication date: 17 February 1999

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

Full work available at URL: https://semanticscholar.org/paper/94fa350bf40e8b580fcd7a0f2f74c91c605ca760

zbMATH Keywords

generalized Jacobi polynomialsbounded polynomial operatorsFreud-type weight functions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (4)

A tribute to Géza Freud ⋮ Weighted \(L^1\) approximation on \([- 1, 1\) via discrete de la Vallée Poussin means] ⋮ Application of Mhaskar‐Prestin operators to the convergence of orthonormal expansions ⋮ Error analysis of multicategory support vector machine classifiers

Cites Work

• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
• Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials
• Mean convergence of Lagrange interpolation for Freud's weights with application to product integration rules
• Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights
• On Markov-Bernstein-type inequalities and their applications
• Some applications of generalized Jacobi weights
• Mean convergence of generalized Jacobi series and interpolating polynomials. II
• Weighted approximation with varying weight
• Mean convergence of generalized Jacobi series and interpolating polynomials. I
• Sharpening of Stečkin's theorem to strong approximation
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• A class of orthogonal polynomials
• Orthogonal polynomials
• Extension of the Dirichlet-Jordan criterion to a general class of orthogonal polynomial expansions
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