K functionals and best polynomial approximation in weighted \(L^ p(R)\)
type: Item
instance of: scholarly article
title: K functionals and best polynomial approximation in weighted \(L^ p(R)\)
zbMATH Open document ID: 0606.41010
DOI: 10.1016/0021-9045(86)90084-5
author: Z. Ditzian
author: Vilmos Totik
published in: Journal of Approximation Theory
publication date: 1986-01-01T00:00:00Z
review text: A new modulus of smoothness is considered. This modulus has some advantages over that of \textit{G. Freud} and \textit{H. N. Mhaskar} [Ark. Mat. 21, 145-161 (1983; Zbl 0536.41005)]. The equivalence of this modulus of smoothness and K functionals is shown and the characterization problem mentioned by \textit{H. N. Mhaskar} [J. Approximation Theory 46, 100-110 (1986)] is solved.
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 3979671
zbMATH Keywords: modulus of smoothness
MaRDI profile type: Publication
full work available at URL: 0021-9045(86)90084-5
OpenAlex ID: W2019081085
cites work: On Markov-Bernstein-type inequalities and their applications
cites work: Weighted polynomial approximation
description: scientific article; zbMATH DE number 3979671