Convincing
/kənˈvɪnsɪŋ/
verb
To make someone believe, or feel sure about something, especially by using logic, argument or evidence.
“I wouldn't have or do something, unless I'm convinced that it's good.”
To persuade.
To overcome, conquer, vanquish.
noun
The process by which somebody is convinced.
adjective
Effective as proof or evidence.
“Our convincing evidence was sufficient in the end to win the trial.”