converges uniformly

Let X be a set, (Y,ρ) a metric space and {fn} a sequence of functions from X to Y, and f:XY another function.

If for every ε>0 there exists an integer N such that


for all xX and all n>N, then we say that fn converges uniformly to f.

Title converges uniformly
Canonical name ConvergesUniformly
Date of creation 2013-03-22 14:01:23
Last modified on 2013-03-22 14:01:23
Owner yark (2760)
Last modified by yark (2760)
Numerical id 10
Author yark (2760)
Entry type Definition
Classification msc 40A30
Related topic UniformConvergence
Related topic AbsoluteConvergence