An Extremal Nonnegative Sine Polynomial
An Extremal Nonnegative Sine Polynomial
For any positive integer n, the sine polynomials that are nonnegative in [0, π] and which have the maximal derivative at the origin are determined in an explicit form.Associated cosine polynomials K n (θ) are constructed in such a way that {K n (θ)} is a summability kernel.Thus, for each …