论文标题
Lebesgue常数的上限用于Lagrange插值在三角形的均等点中
The Upper Bound for the Lebesgue Constant for Lagrange Interpolation in Equally Spaced Points of the Triangle
论文作者
论文摘要
在三角形在三角形相同间隔点中的插值操作员的Lebesgue常数（最高范围）的上限，该函数的总数小于或等于n。早些时候，作者确定了任意D维单纯形的Lebesgue常数增加的n。本文中证明的明确上限为d = 2完善了此结果。
An upper bound for the Lebesgue constant (the supremum norm) of the operator of interpolation of a function in equally spaced points of a triangle by a polynomial of total degree less than or equal to n is obtained. Earlier, the rate of increase of the Lebesgue constants with respect to n for an arbitrary d-dimensional simplex was established by the author. The explicit upper bound proved in this article refines this result for d=2.
