A New Family of Nonnegative Sine Polynomials
Classical Analysis and ODEs
2017-08-04 v2
Abstract
We present a new family of sine polynomials that are nonnegative for all in . We also characterize all nonnegative sine polynomials of degree 3 and all nonnegative cosine polynomials of degree 2. In the latest version, typos in (1.4) and (1.6) are corrected (with >= replaced by <=).
Keywords
Cite
@article{arxiv.1607.08314,
title = {A New Family of Nonnegative Sine Polynomials},
author = {Man Kam Kwong},
journal= {arXiv preprint arXiv:1607.08314},
year = {2017}
}