In this paper, we establish five new sharp versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing Schwarz function in place of the initial coefficients in the power series representations of the functions involved and thereby, we generalize several related results of earlier authors.

中文翻译：

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带面积分析的精制玻尔型不等式

在本文中，通过允许Schwarz函数代替函数的幂级数表示中的初始系数，我们为单位圆盘中的有界分析函数建立了五个新的Bohr型不等式的尖锐版本，从而概括了一些相关结果的早期作者。