Approximate derivations of order $n$

Abstract

The aim of this paper is to prove characterization theorems for higher order derivations. Among others we prove that the system defining higher order derivations is stable. Further characterization theorems in the spirit of N.~G.~de Bruijn will also be presented.

9 pages

References in corpus (2)

• Hyers--Ulam stability of derivations and linear functions
• Derivations and linear functions along rational functions

Cited by in corpus (1)

• On derivations with respect to finite sets of smooth functions