\(K\)-functional, weighted moduli of smoothness, and best weighted polynomial approximation on a simplex

DOI10.1007/BF02650734zbMath0934.41006MaRDI QIDQ1806299

Song Li

Publication date: 13 April 2000

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

simplex\(K\)-functionalsweighted moduli of smoothnessDitzian-Totik modulus

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Inverse theorems in approximation theory (41A27)

Related Items (1)

A tribute to Géza Freud

Cites Work

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• \(K\)-functionals for Besov spaces
• Bernstein-Durrmeyer polynomials on a simplex
• \(K\)-moduli, moduli of smoothness, and Bernstein polynomials on a simplex
• Best polynomial and Durrmeyer approximation in \(L_ p(S)\)
• Optimal approximation class for multivariate Bernstein operators
• The equivalence relations between the Ditzian-Totik moduli of smoothness and best polynomial approximation in the Besov spaces
• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• Remarks on Besov Spaces and Best Polynomial Approximation
• Inverse Theorem for Best Polynomial Approximation in L p , 0 < p < 1
• The equivalence relations between the best approximation and linear operators approximation in a Besov space
• Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)

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