  The classical inequality of Bohr asserts that if a power series converges in
the unit disk and its sum has modulus less than or equal to $1$, then the sum
of absolute values of its terms is less than or equal to $1$ for the subdisk
$|z|<1/3$ and $1/3$ is the best possible constant. Recently, there has been a
number of investigations on this topic. In this article, we present a refined
version of Bohr's inequality along with few other related improved versions of
previously known results.
