Geodesic
On the extremal problem about the minimum of the free term of a nonnegative trigonometric polynomial
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 105-121
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A new extremal problem is solved about the minimum of the free term of a nonnegative even trigonometric polynomial with the following conditions on its coefficients: all coefficients except for the free term are greater than or equal to 1 and the sum of all coefficients except for the free term is equal to a specified value. As a result, Fejér's known result is improved.
Keywords: extremal problem, nonnegative trigonometric polynomial. 
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A. S. Belov. On the extremal problem about the minimum of the free term of a nonnegative trigonometric polynomial. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 105-121. http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a12/

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