Let g∈C<sup>q</sup>[-1, 1] be such that g<sup>(k)</sup>(±1)=0 for k=0,…,q. Let P<sub>n</sub> be an algebraic polynomialof degree at most n, such that P<sub>n
Let p(z)=akzk be such that |p(eip)|≤1 for R and |p(1)|=a[0,1].An inequality of Dewan and Cavil for the sum |av|+|au|,0≤u【v≤n is sharpened.Let p(z)=abzk be s