Basic Fourier series: convergence on and outside the q-linear grid
General Mathematics
2007-05-23 v1
Abstract
A q-type Holder condition on a function f is given in order to establish (uniform) convergence of the corresponding basic Fourier series S_q[f] to the function itself, on the set of points of the q-linear grid. Furthermore, by adding others conditions, one guaranties the (uniform) convergence of S_q[f] to f on and "outside" the set points of the q-linear grid.
Keywords
Cite
@article{arxiv.math/0605764,
title = {Basic Fourier series: convergence on and outside the q-linear grid},
author = {J. L. Cardoso},
journal= {arXiv preprint arXiv:math/0605764},
year = {2007}
}
Comments
16 pages