论文标题

尖锐的玻尔类型不等式

Sharp Bohr type inequality

论文作者

Ismagilov, Amir, Kayumov, Ilgiz R, Ponnusamy, Saminathan

论文摘要

本文致力于对单位磁盘定义的有限分析功能的经典玻璃不平等的急剧改善。我们还通过分别通过函数的绝对和函数的绝对平方替换恒定项来证明BOHR不等式的另外两个尖锐版本。

This article is devoted to the sharp improvement of the classical Bohr inequality for bounded analytic functions defined on the unit disk. We also prove two other sharp versions of the Bohr inequality by replacing the constant term by the absolute of the function and the square of the absolute of the function, respectively.

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