uniform convergence

Noun

Meaning

uniform convergence (plural uniform convergences)

(mathematics) A type of convergence of a sequence of functions { fn }, in which the speed of convergence of fn(x) to f(x) does not depend on x.

Source: en.wiktionary.org

Examples

Uniform convergence The theory of uniform convergence was treated by Cauchy (1821), his limitations being pointed out by Abel, but the first to attack it successfully were Seidel and Stokes (1847–48). Source: Internet

Consequently, : This demonstrates that for integrals on unbounded intervals, uniform convergence of a function is not strong enough to allow passing a limit through an integral sign. Source: Internet

In the absolutely summable case, the inequality proves uniform convergence. Source: Internet

Note that almost uniform convergence of a sequence does not mean that the sequence converges uniformly almost everywhere as might be inferred from the name. Source: Internet

The following is the more important result about uniform convergence: : Uniform convergence theorem. Source: Internet

Close letter words and terms

uniform case Uniform Code of Military Justice uniform continuity uniform crake uniform distribution uniform metric