We evaluate the values of the Lebesgue constants in polynomial interpolation for three types of Cantor sets. In all cases, the sequences of Lebesgue constants are not bounded. This disproves the statement by Mergelyan.
翻译:我们评估三种Cantor 组合内插的 Lebesgue 常数的值。 在所有情况下, Lebesgue 常数的序列都不受约束。 这反驳了Mergelyan 的说法。