Uniqueness of Meromorphic Functions Concerning Sharing Two Small Functions with Their Derivatives

In this paper, we study the uniqueness of meromorphic functions that share two small functions with their derivatives. We prove the following result: Let $ f $ be a nonconstant meromorphic function such that $ \mathop {\overline{\lim}}\limits_{r\to\infty} \frac{\bar{N}(r, f)}{T(r, f)}<\frac{3}{128} $, and let $ a $, $ b $ be two distinct small functions of $ f $ with $ a\not\equiv\infty $ and $ b\not\equiv\infty $. If $ f $ and $ f' $ share $ a $ and $ b $ IM, then $ f\equiv f' $.