Geodesic
The non-coincidence of ordinary and Peano derivatives
Mathematica Bohemica, Tome 124 (1999) no. 4, pp. 381-399.

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Let $f H\subset\Bbb R\to\Bbb R$ be $k$ times differentiable in both the usual (iterative) and Peano senses. We investigate when the usual derivatives and the corresponding Peano derivatives are different and the nature of the set where they are different.
DOI : 10.21136/MB.1999.125997
Classification : 26A24
Keywords: Peano derivatives; nowhere dense perfect sets; porosity 
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Buczolich, Zoltán; Weil, Clifford E. The non-coincidence of ordinary and Peano derivatives. Mathematica Bohemica, Tome 124 (1999) no. 4, pp. 381-399. doi : 10.21136/MB.1999.125997. http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125997/

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