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Refined Bohr inequalities for certain classes of functions: analytic, univalent, and convex
Part of
Sabir Ahammed, Molla Basir Ahamed
Journal:

Canadian Mathematical Bulletin / Volume 67 / Issue 1 / March 2024

Published online by Cambridge University Press:

09 June 2023, pp. 9-25

Print publication:

March 2024
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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.