Differentiability classes ↩

Metadata

shorthands: {}
aliases: [Smoothness classes, Differentiability class, Smoothness class]
created: 2021-10-21 19:55:39
modified: 2022-01-10 04:13:04

The differentiability class is a measure of the highest order of derivative that exists continuously for a function.

Formally: ( function with a domain as an open set on and ) The function is said to be of (differentiability) class if the derivatives , , , exist and are continuous. The function is said to be infinitely differentiable, smooth; or of class , if it has derivatives of all orders.