Dini theorem(redirected from Dini's theorem)
Also found in: Wikipedia.
Dini theorem[′dē·nē ‚thir·əm]
The theorem that, if a monotone sequence of continuous real-valued functions converges to a continuous function ƒ on a compact set C, this convergence is uniform; that is, the sequence converges uniformly to ƒ on C.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.