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Extending Peano derivatives: necessary and sufficient conditions

100%

Volkmer H.

Fundamenta Mathematicae

1999

tom 159

nr 3

219-229

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.

Nonlinear transformations on spaces of continuous functions

32%

Volkmer H., Weber H.

Studia Mathematica

1987

tom 86

nr 3

221-237

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Studia Mathematica

2 Volkmer H.

1 Weber H.

1 1999

1 1987

Wyniki wyszukiwania

Extending Peano derivatives: necessary and sufficient conditions

Nonlinear transformations on spaces of continuous functions