uniform convergence
Let be any set, and let be a metric space. A sequence of functions mapping to is said to be uniformly convergent to another function if, for each , there exists such that, for all and all , we have . This is denoted by , or “ uniformly” or, less frequently, by .
Title | uniform convergence |
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Canonical name | UniformConvergence |
Date of creation | 2013-03-22 13:13:49 |
Last modified on | 2013-03-22 13:13:49 |
Owner | Koro (127) |
Last modified by | Koro (127) |
Numerical id | 14 |
Author | Koro (127) |
Entry type | Definition |
Classification | msc 40A30 |
Related topic | CompactOpenTopology |
Related topic | ConvergesUniformly |
Defines | uniformly convergent |