Note on Weighted Bohr's Inequality

Ramakrishnan Vijayakumar

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arXiv · 2104.05955

Note on Weighted Bohr's Inequality

Ramakrishnan Vijayakumar

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Abstract

In this paper, first we give a new generalization of the Bohr's inequality for the class of bounded analytic functions $\mathcal{B'}$ and for the class of sense-preserving $K$-quasiconformal harmonic mappings of the form $f=h+\overline{g},$ where $h \in \mathcal{B'}.$ Finally we give a new generalization of the Bohr's inequality for the class of analytic functions subordinate to univalent functions and for the class of sense-preserving $K$-quasiconformal harmonic mappings of the form $f=h+\overline{g},$ where $h$ is subordinated to some analytic function.

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Ramakrishnan Vijayakumar. 2021-04-13. Note on Weighted Bohr's Inequality. https://arxiv.org/abs/2104.05955

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