A remark on the trigonometric system
Classical Analysis and ODEs
2015-06-04 v1
Abstract
We present a new property of the trigonometric system arranged in a natural order. It is shown that the sequence of subspaces of trigonometric polynomials is optimal in the sense of order of convergence on convolution classes K*Up in Lq for any 1<p,q<\infty just in the cases of "very slow" or "very fast" rate of decay of Fourier coefficients of K.
Cite
@article{arxiv.1506.01116,
title = {A remark on the trigonometric system},
author = {Alexander Kushpel},
journal= {arXiv preprint arXiv:1506.01116},
year = {2015}
}