On the mean summability of series by nonlinear basis
Functional Analysis
2017-04-07 v1
Abstract
The nonlinear signal processing has achieved a rapid process in the recent years. A family of nonlinear Fourier bases, as a typical family of mono-component signals, has been constructed and applied to signal processing. In this paper, the approximation properties of the partial sums and Ces?aro summability of series by the nonlinear Fourier basis are investigated in the Lp(T). Furthermore, these results are applied to the prove of Bernstein's inequalities for nonlinear trigonometric polynomials.
Keywords
Cite
@article{arxiv.1704.01825,
title = {On the mean summability of series by nonlinear basis},
author = {Hatice Aslan and Ali Guven},
journal= {arXiv preprint arXiv:1704.01825},
year = {2017}
}
Comments
19 pages