Uniform convergence

id: uniform-convergence-183-13094051
title: Uniform convergence
text: In the mathematical field of analysis, uniform convergence is a mode of convergence of functions stronger than pointwise convergence. A sequence of functions converges uniformly to a limiting function f on a set E as the function domain if, given any arbitrarily small positive number ϵ, a number N can be found such that each of the functions f N, f N + 1, f N + 2, … differs from f by no more than ϵ at every point x in E. Described in an informal way, if f n converges to f uniformly, then how qui
brand slug: wiki
category slug: encyclopedia
description: Mode of convergence of a function sequence
original url: https://en.wikipedia.org/wiki/Uniform_convergence
date created: 2002-04-28T00:08:46Z
date modified: 2024-09-06T23:07:14Z
main entity: {"identifier":"Q1411887","url":"https://www.wikidata.org/entity/Q1411887"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/8/81/Uniform_convergence.svg","width":640,"height":540}
fields total: 13
integrity: 16

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