She argued 'convincingly' [='persuasively'] that more money should be given to public schools.
There is no 'convincing' evidence to support his theory.
Your argument/story isn't very 'convincing'.
(..) not from the police. So what? Now you'll have to convince me to answer your questions. Well,I have a great way to do that. Yes, it is convincing. But be careful. Only three questions, no more. Like in fairy tales. Do you know a man named Kasper? No. (..)1981 To Kill a Cop