دورية أكاديمية
Positive Polynomials on Closed Boxes
| العنوان: | Positive Polynomials on Closed Boxes |
|---|---|
| المؤلفون: | Marcio A. Diniz, R. B. Stern, Luis E. Salazar |
| المصدر: | Trends in Computational and Applied Mathematics, Vol 20, Iss 3 (2019) |
| بيانات النشر: | Sociedade Brasileira de Matemática Aplicada e Computacional, 2019. |
| سنة النشر: | 2019 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | positive polynomials, unit box, Bernstein polynomials, Mathematics, QA1-939 |
| الوصف: | 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 $\mathbb{R}^n$, $n>2$. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English Portuguese |
| تدمد: | 2676-0029 |
| Relation: | https://tcam.sbmac.org.br/tema/article/view/1383; https://doaj.org/toc/2676-0029 |
| DOI: | 10.5540/tema.2019.020.03.509 |
| URL الوصول: | https://doaj.org/article/1f03a83d5b3841c0927e9452857b913f |
| رقم الأكسشن: | edsdoj.1f03a83d5b3841c0927e9452857b913f |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 26760029 |
|---|---|
| DOI: | 10.5540/tema.2019.020.03.509 |