| Article ID: | iaor2007423 |
| Country: | Netherlands |
| Volume: | 169 |
| Issue: | 3 |
| Start Page Number: | 1207 |
| End Page Number: | 1221 |
| Publication Date: | Mar 2006 |
| Journal: | European Journal of Operational Research |
| Authors: | Faybusovich L. |
We discuss in detail an additive structure of cones of trigonometric polynomials nonnegative on the union of a finite number of pairwise disjoint segments of the unit circle. We derive new descriptions of these cones in terms of semidefinite constraints. We explain the results of M. Krein and A. Nudelman, providing a description of dual cones in terms of the same type of constraints.