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arXiv · 1607.08314

A New Family of Nonnegative Sine Polynomials

Man Kam Kwong
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Abstract

We present a new family of sine polynomials that are nonnegative for all $x$ in $[0,\pi]$. 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 <=).

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Man Kam Kwong. 2016-07-28. A New Family of Nonnegative Sine Polynomials. https://arxiv.org/abs/1607.08314

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