Functions measuring smoothness and the constants in Jackson--Stechkin theorem
Classical Analysis and ODEs
2008-09-02 v1
Abstract
This paper is devoted to the equivalence of two type direct theorems in Approximation Theory: a) for smooth functions (Favard's estimates). b) for arbitrary continuous function (Jackson--Stechkin estimates). Specifically, we will show that Jackson--Stechkin inequality with optimal respect to the order of smoothness constants follows from Favard's inequality.
Cite
@article{arxiv.0809.0178,
title = {Functions measuring smoothness and the constants in Jackson--Stechkin theorem},
author = {A. G. Babenko and Yu. V. Kryakin},
journal= {arXiv preprint arXiv:0809.0178},
year = {2008}
}
Comments
6 pages