Try this - "I will notify you of further updates. This is common in business AmE. More colloquial, and common in casual situations:. ... <看更多>

Due to tropical storm grace, our store will close today at 4 pm. We will keep you informed on further updates,... ... <看更多>

"Do not miss out on this update, as we strive to always keep you acquainted and well-informed about the latest updates." For any further queries or concern, ... ... <看更多>