Antonyms of convince:
deter, discourage, dissuade, hinder, hold back, repel, restrain, unsell.
Examples of usage:
  1. So Peter, irritated, set out to convince her.
    "100%: The Story of a Patriot", Upton Sinclair.
  2. But of course I can't expect to convince you of it; no one else could see it.
    "Indian Summer", William D. Howells.
  3. Let us suppose that we had known Jesus in the flesh, that we had learned to understand a little of the moral and spiritual beauty of the ideal revealed in His life, and that afterward we had seen Him die in blood and shame; I think it would have taken a good deal to convince us that evil had not gained the day.
    "The New Theology", R. J. Campbell.