BranchesHistoryHelpLogin
Welcome guest
You're not logged in.
314 users online, thereof 0 logged in

Definition: Supremum Norm for Functions

Let $D$ be a set, $\mathbb F$ be a either the field of real numbers or the field of complex numbers and let $f:D\to\mathbb F$ be a function. We set $$||f||_\infty:=\sup\{|f(x)|\mid x\in D\},$$ where $|f(x)|$ is the absolute value of real numbers (or the absolute value of complex numbers) and call $||f||_\infty$ the supremum norm of $f$ on $D.$

Notes

| | | | | created: 2020-02-26 19:46:10 | modified: 2020-02-26 19:46:46 | by: bookofproofs | references: [581]

Edit or AddNotationAxiomatic Method

This work was contributed under CC BY-SA 4.0 by:

This work is a derivative of:

Bibliography (further reading)

[581] Forster Otto: “Analysis 1, Differential- und Integralrechnung einer Veränderlichen”, Vieweg Studium, 1983