The sets of Dirichlet non-improvable numbers vs well-approximable numbers

Ayreena Bakhtawar, Philip Bos, Mumtaz Hussain

Let $\Psi :[1,\infty )\to {\mathbb{R}}_{+}$ be a non-decreasing function, $a_n(x)$ the $n$'{th} partial quotient of $x$ and $q_n(x)$ the denominator of the $n$'{th} convergen…