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The Bohr radius for the class of harmonic functions of the form $f(z)=h+\overline{g} $ in the unit disk $ \mathbb{D}:=\{z\in\mathbb{C} : |z|<1\}$, where $ h(z)=\sum_{n=0}^{\infty}a_nz^n $ and $g(z)=\sum_{n=1}^{\infty}b_nz^n $ is to find the largest radius $ r_f $, $0<r_f<1 $ such that \begin{equation*}  \sum_{n=1}^{\infty}\left(|a_n|+|b_n|\right)|z|^n\leq d(f(0),\partialf(\mathbb{D})) \end{equation*} holds for $ |z|=r\leq r_f $, where $d(f(0),\partial f(\mathbb{D})) $ is the Euclidean distance between $ f(0) $ andthe boundary of $ f(\mathbb{D}) $. In this paper, we prove two-type of improvedversions of the Bohr inequalities, one for a certain class of harmonic andunivalent functions and the other for stable harmonic mappings. It is observedin the paper that to obtain sharp Bohr inequalities it is enough to considerany non-negative real coefficients of the quantity $ S_r/\pi $. As aconsequence of the main result, we prove corollaries showing the precise valueof the sharp Bohr radius.

Improved Bohr inequalities for certain classes of harmonic mappings