Inverse Theorem for Best Polynomial Approximation in L p , 0 < p < 1

DOI10.2307/2160180zbMath0793.41016OpenAlexW4246261911MaRDI QIDQ4281750

Z. Ditzian, Dechang Jiang, Dany Leviatan

Publication date: 7 April 1994

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160180

zbMATH Keywords

rate of best polynomial approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inverse theorems in approximation theory (41A27)

Related Items (12)

Best approximations and moduli of smoothness of functions and their derivatives in \(L_p\), \(0 < p < 1\) ⋮ Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\) ⋮ Polynomial approximation with doubling weights ⋮ Forward and converse theorems of polynomial approximation for exponential weights on \([-1,1\). II] ⋮ The theory of multi-dimensional polynomial approximation ⋮ The equivalence relations between the Ditzian-Totik moduli of smoothness and best polynomial approximation in the Besov spaces ⋮ Direct and converse results for multivariate generalized Bernstein polynomials ⋮ Polynomial approximation with doubling weights having finitely many zeros and singularities ⋮ \(K\)-functional, weighted moduli of smoothness, and best weighted polynomial approximation on a simplex ⋮ Smoothness theorems for Erdős weights. II ⋮ On equivalence of moduli of smoothness of polynomials in \(L_p\), \(0 < p \leqslant \infty\) ⋮ A characterization of smoothness for Freud weights

This page was built for publication: Inverse Theorem for Best Polynomial Approximation in L p , 0 < p < 1