Last Updated：2025/11/27

(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.

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uniform convergence

Source Word

uniform convergence

Noun

(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.

Japanese Meaning

一様収束：数学において、関数列 {fₙ} が収束先の関数 f に対して、各点 x に依存せず一定の速度で収束する性質。

To justify interchanging a limit and an integral, we often require uniform convergence of the sequence of functions.

極限と積分の順序を入れ替えることを正当化するために、関数列が一様収束することがしばしば必要です。

Sense（1）

(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.

uniform convergences

（ plural ）