Definition 8.2.4: Supremum Norm

Suppose f: D R is a function with domain D. We define the sup-norm of f over D as:
|| f ||D = sup{ |f(x)|: x D }
If the context is clear, we simply write || f ||.
Context Context


Interactive Real Analysis, ver. 1.9.5
(c) 1994-2007, Bert G. Wachsmuth
Page last modified: Mar 28, 2007