Zoltan Buczolich, Department of Analysis, Eotvos Lorand University, Rakoczi ut 5, 1088 Budapest, Hungary; Clifford E. Weil, Mathematics Department, Michigan State University, East Lansing, MI 48824-1027, USA
Abstract: 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.
Keywords: Peano derivatives, nowhere dense perfect sets, porosity
Classification (MSC 1991): 26A24
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