Dini theorem
Dini theorem
[′dē·nē ‚thir·əm] (mathematics)
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.
References in periodicals archive
It follows from the
Dini theorem ([14], Theorem 2.1) that A is nonincreasing on [0, a].
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