con‧vince [transitive]
1 to make someone feel certain that something is true: Her arguments didn't convince everyone, but changes were made.
convince somebody (that) Baker had to convince jurors that his client had been nowhere near the scene of the murder.
convince somebody of something The officials were eager to convince us of the safety of the nuclear reactors.
2 to persuade someone to do something [= persuade]
convince somebody to do something I've been trying to convince Jean to come with me.
per‧suade [transitive]
1 to make someone decide to do something, especially by giving them reasons why they should do it, or asking them many times to do itpersuade somebody to do something I finally managed to persuade her to go out for a drink with me.
persuade somebody into doing something Don't let yourself be persuaded into buying things you don't want.
try/manage/fail to persuade somebody I'm trying to persuade your dad to buy some shares.
attempt/effort to persuade somebody Leo wouldn't agree, despite our efforts to persuade him.
little/a lot of/no persuading He took a lot of persuading to come out of retirement (=it was hard to persuade him).
He was fairly easily persuaded.
2 to make someone believe something or feel sure about something [= convince]: I am not persuaded by these arguments.
persuade somebody (that) She'll only take me back if I can persuade her that I've changed.
persuade somebody of something McFadden must persuade the jury of her innocence.
try some on line dictionaries:
http://www.ldoceonline.com/dictionary/