Positive Polynomials on Closed Boxes
Abstract
We present two different proofs that positive polynomials on closed boxes of $\mathbb{R}^2$ can be written as bivariate Bernstein polynomials with strictly positive coefficients.
Both strategies can be extended to prove the analogous result for polynomials that are positive on closed boxes of $\mathbb{R}^n$, $n>2$.
Keywords
positive polynomials, unit box, Bernstein polynomials
Full Text:
PDFDOI: https://doi.org/10.5540/tema.2019.020.03.509
Article Metrics
Metrics Loading ...
Metrics powered by PLOS ALM
Refbacks
- There are currently no refbacks.
Trends in Computational and Applied Mathematics
A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
Indexed in: