JournalszaaVol. 5, No. 2pp. 169–177

Non-Negative Trigonometric Polynomials with Constraints

  • Stephan Ruscheweyh

    Universität Würzburg, Germany
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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