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Refined Bohr inequalities for certain classes of functions: analytic, univalent, and convex
Published online by Cambridge University Press: 09 June 2023
Abstract
In this article, we prove several refined versions of the classical Bohr inequality for the class of analytic self-mappings on the unit disk $ \mathbb {D} $, class of analytic functions $ f $ defined on $ \mathbb {D} $ such that $\mathrm {Re}\left (f(z)\right )<1 $, and class of subordination to a function g in $ \mathbb {D} $. Consequently, the main results of this article are established as certainly improved versions of several existing results. All the results are proved to be sharp.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of The Canadian Mathematical Society
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