In mathematical analysis, the uniform norm (or sup norm) assigns, to real- or complex-valued bounded functions f {\displaystyle f} defined on a set S {\displaystyle S} , the non-negative number ‖ f ‖ ∞ = ‖ f ‖ ∞ , S = sup { | f ( s ) | : s ∈ S } . {\displaystyle \|f\|_{\infty }=\|f\|_{\infty ,S}=\sup \left\{\,|f(s)|:s\in S\,\right\}.} 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.
In mathematical analysis, the uniform norm (or sup norm) assigns, to real- or complex-valued bounded functions f {\displaystyle f} defined on a set S {\displaystyle S} , the non-negative number ‖ f ‖ ∞ = ‖ f ‖ ∞ , S = sup { | f ( s ) | : s ∈ S } . {\displaystyle \|f\|_{\infty }=\|f\|_{\infty ,S}=\sup \left\{\,|f(s)|:s\in S\,\right\}.} 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.
Source: Wikipedia "Uniform norm" · CC BY-SA 4.0
Share this article: X · Bluesky