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math.CA2016
On a Sine Polynomial of Turan
Horst Alzer, Man Kam Kwong
In 1935, P. Turán proved that We present various related inequalities. Among others, w…
math.CA2016
A New Family of Nonnegative Sine Polynomials
Man Kam Kwong
We present a new family of sine polynomials that are nonnegative for all in . We also characterize all nonnegative sine polynomials of degree 3 and all nonnegative cosin…