On the exact constant in Jackson-Stechkin inequality for the uniform metric
Classical Analysis and ODEs
2007-05-23 v1
Abstract
The classical Jackson-Stechkin inequality estimates the value of the best uniform approximation of a periodic function by trigonometric polynomials of degree in terms of its -th modulus of smoothness . The main result of the paper is in establishing the correct order of Jackson--Stechkin constants.
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Cite
@article{arxiv.math/0612283,
title = {On the exact constant in Jackson-Stechkin inequality for the uniform metric},
author = {S. Foucart and Yu. Kryakin and A. Shadrin},
journal= {arXiv preprint arXiv:math/0612283},
year = {2007}
}
Comments
20 pages