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2000/2001 Higher Order Uniform Smoothness and Differentiability of Real Functions
Matteo Rocca, Davide La Torre
Real Anal. Exchange 26(2): 657-668 (2000/2001).


It is known that smoothness-type conditions have several implications on continuity and differentiability properties of real functions. When these conditions hold uniformly on an interval the implications become even stronger. The aim of this paper is to extend to higher orders the relations between uniform smoothness-type conditions and differentiability, taking into account higher order divided differences.


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Matteo Rocca. Davide La Torre. "Higher Order Uniform Smoothness and Differentiability of Real Functions." Real Anal. Exchange 26 (2) 657 - 668, 2000/2001.


Published: 2000/2001
First available in Project Euclid: 27 June 2008

zbMATH: 1015.26014
MathSciNet: MR1844144

Primary: 26A16 , 26A24

Keywords: divided differences , H\"older functions

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 2 • 2000/2001
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