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2007-09-26Zeitschriftenartikel DOI: 10.1515/ADVGEOM.2009.026
Peano differentiable extensions in o-minimal structures
Andreas, Fischer
Peano differentiability generalizes ordinary differentiability to higher order. There are two ways to define Peano differentiability for functions defined on non-open sets. For both concepts, we investigate the question under which conditions a function defined on a closed set can be extended to a Peano differentiable function on the ambient space if the sets and functions are definable in an o-minimal structure expanding a real closed field.
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DOI
10.1515/ADVGEOM.2009.026
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https://doi.org/10.1515/ADVGEOM.2009.026
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<a href="https://doi.org/10.1515/ADVGEOM.2009.026">https://doi.org/10.1515/ADVGEOM.2009.026</a>