There are several synonyms that can be used in place of the word "improvingly". Some example of these are "progressively", "advancingly", "developingly", "evolvingly", and "enhancingly". Each of these words conveys the meaning of something getting better or improving over time. "Progressively" emphasizes a steady and consistent improvement, while "advancingly" suggests a forward movement towards betterment. "Developingly" and "evolvingly" both imply a process of growth and change, while "enhancingly" suggests the addition of positive changes to something already good. Using a synonym for "improvingly" in your writing can add variety and interest to your language.