A special modulus of continuity and the K-functional
Classical Analysis and ODEs
2013-08-26 v1
Abstract
We consider the questions connected with the approximation of a real continuous 1-periodic functions and give a new proof of the equivalence of the special Boman-Shapiro modulus of continuity with Peetre's K-functional. We also prove Jackson's inequality for the approximation by trigonometric polynomials.
Keywords
Cite
@article{arxiv.1308.5081,
title = {A special modulus of continuity and the K-functional},
author = {Nadezhda Dolmatova},
journal= {arXiv preprint arXiv:1308.5081},
year = {2013}
}