论文标题
Lebesgue常数的渐近学以$ d $二维的单纯形
Asymptotics of the Lebesgue constants for a $d$-dimensional simplex
论文作者
论文摘要
在本文中，给出了由各向异性扩张的$ d $二维单纯形产生的Lebesgue常数。与仅在二维中建立的许多先前结果相反，获得的结果在任何维度中都得到了证明。同样，“理性”和“非理性”部分是团结一致的，并以一个公式分离。
In this paper an asymptotic formula is given for the Lebesgue constants generated by the anisotropically dilated $d$-dimensional simplex. Contrary to many preceding results established only in dimension two, the obtained ones are proved in any dimension. Also, the "rational" and "irrational" parts are both united and separated in one formula.
