Extending Peano derivatives: necessary and sufficient conditions
Volkmer, Hans
Fundamenta Mathematicae, Tome 159 (1999), p. 219-229 / Harvested from The Polish Digital Mathematics Library
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The paper treats functions which are defined on closed subsets of [0,1] and which are k times Peano differentiable. A necessary and sufficient condition is given for the existence of a k times Peano differentiable extension of such a function to [0,1]. Several applications of the result are presented. In particular, functions defined on symmetric perfect sets are studied.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:212330 
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     title = {Extending Peano derivatives: necessary and sufficient conditions},
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     volume = {159},
     year = {1999},
     pages = {219-229},
     zbl = {0945.26008},
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Volkmer, Hans. Extending Peano derivatives: necessary and sufficient conditions. Fundamenta Mathematicae, Tome 159 (1999) pp. 219-229. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv159i3p219bwm/

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