Uniform norm

（重定向自Uniform metric）

In mathematical analysis, the uniform norm (or sup norm) assigns to real- or complex-valued bounded functions f defined on a set S the non-negative number

This norm is also called the supremum norm, the Chebyshev norm, or the infinity norm. The name "uniform norm" derives from the fact that a sequence of functions $\{f_n\}$ converges to f under the metric derived from the uniform norm if and only if $f_n$ converges to $f$ uniformly.

单词	Uniform metric
释义	Uniform metric 英语百科 Uniform norm （重定向自Uniform metric） In mathematical analysis, the uniform norm (or sup norm) assigns to real- or complex-valued bounded functions f defined on a set S the non-negative number This norm is also called the supremum norm, the Chebyshev norm, or the infinity norm. The name "uniform norm" derives from the fact that a sequence of functions $\{f_n\}$ converges to f under the metric derived from the uniform norm if and only if $f_n$ converges to $f$ uniformly.
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