ASL-STEM Forum

You can search for a category or topic by name. Simply begin typing a query and you will be able to choose from a list of matches.

... >> Mathematics >> Mathematical Analysis >> Uniform Convergence

Highest Rated Sign

Nobody has posted a sign yet.

Uniform Convergence

• Definition: Let f_n: X -> Y be a sequence of functions from the set X to the metric space Y. Let d be the metric for Y. We say that the sequence (f_n) converges uniformly to the function f: X-> Y if given e (epsilon) greater than 0, there exists an integer N such that d(f_n(x), f(x)) < e for all n > N and all x in X.

  Source: Topology (second edition) by James R. Munkres

• Listed under: Field Of Topology, Mathematical Analysis