Non-Negative Trigonometric Polynomials with Constraints
Stephan Ruscheweyh
Universität Würzburg, Germany
![Non-Negative Trigonometric Polynomials with Constraints cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-5-issue-2.png&w=3840&q=90)
Abstract
We discuss extremal problems for non-negative trigonometric polynomials with prescribed zeros. The general result is used to refine a former theorem of Fejér concerning upper bounds of those polynomials near to a zero. Another application deals with the coefficient problem for typically real (algebraic) polynomials.
Cite this article
Stephan Ruscheweyh, Non-Negative Trigonometric Polynomials with Constraints. Z. Anal. Anwend. 5 (1986), no. 2, pp. 169–177
DOI 10.4171/ZAA/191