We construct admissible polynomial meshes on piecewise polynomial or trigonometric curves of the complex plane, by mapping univariate Chebyshev points. Such meshes can be used for polynomial least-squares, for the extraction of Fekete-like and Leja-like interpolation sets, and also for the evaluation of their Lebesgue constants.
翻译:通过在复平面的分段多项式或三角曲线上映射单变量切比雪夫点,我们构造了容许多项式网格。此类网格可应用于多项式最小二乘逼近、类费克特和类莱亚插值集的提取,以及其勒贝格常数的计算。