Abstract

The Lebesgue constant corresponding to the classical Fourier operator is approximated by a logarithmic function depending on two parameters. The difference between the Lebesgue constant and this function is studied, various extreme problems are considered, algorithms of successive reduction of values of the obtained best uniform approximations are given.

中文翻译：

---

与对数函数逼近傅立叶算子的勒贝格常数有关的极端问题

摘要

对应于经典傅立叶算子的Lebesgue常数由对数函数取决于两个参数来近似。研究了Lebesgue常数与该函数之间的差异，考虑了各种极端问题，给出了获得的最佳均匀逼近值的连续减小算法。