 Uniform norm

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, the infinity norm, or, when the supremum is in fact the maximum, the max norm.The name "uniform norm" derives from the fact that a sequence of functions formula_2 converges to formula_3 under the metric derived from the uniform norm if and only if formula_4 converges to formula_3 uniformly.