Note on Weighted Bohr's Inequality

Abstract

In this paper, first we give a new generalization of the Bohr's inequality for the class of bounded analytic functions B' and for the class of sense-preserving K-quasiconformal harmonic mappings of the form f=h+g, where h ∈ 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+g, where h is subordinated to some analytic function.

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