Positivity of trigonometric polynomials is of interest for more than a century because of its applications. In this work, we use positivity of trigonometric sine and cosine sums to find the convexity of a polynomial {formula}. Further, we also investigate the radius of convexity r such that f(D_ρ) is convex where Dρ = {z; |z| ≤ ρ,0 < ρ < 1}.
展开▼
机译：由于其应用，三角多项式的阳性是一个多个世纪的感兴趣。在这项工作中，我们使用三角正弦和余弦和阳性来找到多项式{公式}的凸起。此外，我们还研究了凸起R的半径，使得f（d_ρ）是凸的，其中dρ= {z; | Z | ≤ρ，0 <ρ<1}。
展开▼
