Abstract
We characterize ordinary differentiability in terms on the harmonic derivative and a local Lipschitz type condition and apply the result to $C^{k,1}$-functions.
Citation
Tord Sjödin. "A Note on the Harmonic Derivative." Real Anal. Exchange 30 (1) 11 - 22, 2004-2005.
Information
Published: 2004-2005
First available in Project Euclid: 27 July 2005
zbMATH: 1090.26007
MathSciNet: MR2126790
Subjects:
Primary:
26B05
,
26B35
,
31B05
Keywords:
approximative derivative
,
harmonic derivative
,
Lipschitz condition
,
Taylor polynomial
Rights: Copyright © 2004 Michigan State University Press