Some sharp estimates of the constants of Landau and Lebesgue
Some sharp estimates of the constants of Landau and Lebesgue
复制标题
DOI：
10.1016/j.jmaa.2008.08.035
复制
发表时间：
2009
影响因子：
1.3
通讯作者：
Dejun Zhao
中科院分区：
文献类型：
--
作者：
Dejun Zhao
建立了几个涉及朗道和Lebesgue常数的尖锐的双边不等式，它们分别在复分析和Fourier分析中的两个相关极值问题中出现并起重要作用.主要结果改进了这些常数的沃森渐近展开式.
We establish several sharp two-sided inequalities involving the constants of Landau and Lebesgue, which occur and play important roles in two related extremal problems in complex analysis and in Fourier analysis respectively. The main results improves essentially the Watson asymptotic expansion formulas for these constants.