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Extending Peano derivatives: Necessary and sufficient conditions. (English) Zbl 0945.26008

The author considers \(k\) times Peano differentiable functions \(f:A \to \mathbb{R}\), where \(A \subset [0,1]\) is closed. He describes the case in which there exists a \(k\) times Peano differentiable extension \(g:[0,1] \to [0,1]\) of such functions.

MSC:

26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
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