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arXiv · 2411.01437

Improved Bohr-type Inequalities for the Cesaro Operator

Vasudevarao Allu·Raju Biswas·Rajib Mandal
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Abstract

In this paper, we derive the sharp improved versions of Bohr-type inequalities for the Ces\'aro operator acting on the class of bounded analytic functions defined on the unit disk $\D=\left\{z\in\C:\left|z\right|<1\right\}$. In order to achieve these results, we utilize the principle of substituting the initial coefficients of the majorant series with the absolute values of the Ces\'aro operator associated with a bounded analytic function defined on $\D$ and its derivative, as well as for the Schwarz function.

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Vasudevarao Allu, Raju Biswas, Rajib Mandal. 2024-11-03. Improved Bohr-type Inequalities for the Cesaro Operator. https://doi.org/10.1080/17476933.2025.2591352

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