A New Family of Nonnegative Sine Polynomials
  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 <=). 
Man Kam Kwong
math.CA