论文标题
多元扩张理论和皮尔斯·波尔库夫猜想
Multivariate expansivity theory and Pierce-Birkhoff conjecture
论文作者
论文摘要
在Pierce-Birkhoff的猜想中,我们为单个可变扩展理论启动了扩展程序。我们在属于环$ \ mathbb {r}的多项式元素下研究了这个概念。作为应用程序,我们发展了一些不平等,以研究Pierce-Birkhoff的猜想。
Motivated by the Pierce-Birkhoff conjecture, we launch an extension program for single variable expansivity theory. We study this notion under tuples of polynomials belonging to the ring $\mathbb{R}[x_1,x_2,\ldots,x_n]$. As an application we develop some class of inequalities to study the Pierce-Birkhoff conjecture.