Extending Peano derivatives: necessary and sufficient conditions

• Autorzy: Hans Volkmer
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 159
• Numer: 3
• Strony: 219-229

Daty

wydano

1999

otrzymano

1997-06-18

poprawiono

1998-02-02

poprawiono

1998-09-24

Twórcy

autor

Hans Volkmer

• Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201 U.S.A.

Bibliografia

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