凸区域上Christoffel函数的上估计
Upper estimates of Christoffel function on convex domains
摘要：
得到了${\mathbb{R}}^d$中凸区域上Christoffel函数点态行为的新的上界.这些估计是通过明确构建相应的“针”样代数多项式具有小的积分范数域上，并表示在几个易于测量的几何特征的兴趣点的位置在域中。文中给出了计算结果和应用实例。
英文摘要：
New upper bounds on the pointwise behaviour of Christoffel function on convex domains in ${\mathbb{R}}^d$ are obtained. These estimates are established by explicitly constructing the corresponding "needle"-like algebraic polynomials having small integral norm on the domain, and are stated in terms of few easy-to-measure geometric characteristics of the location of the point of interest in the domain. Sharpness of the results is shown and examples of applications are given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
