Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Extending o-minimal Fréchet derivatives

100%

Fischer A.

Annales Polonici Mathematici

2007

tom 92

nr 2

179-189

We investigate several extension properties of Fréchet differentiable functions defined on closed sets for o-minimal expansions of real closed fields.

Zero-set property of o-minimal indefinitely Peano differentiable functions

100%

Fischer A.

Annales Polonici Mathematici

2008

tom 94

nr 1

29-41

Given an o-minimal expansion ℳ of a real closed field R which is not polynomially bounded. Let $𝓟^{∞}$ denote the definable indefinitely Peano differentiable functions. If we further assume that ℳ admits $𝓟^{∞}$ cell decomposition, each definable closed subset A of Rⁿ is the zero-set of a $𝓟^{∞}$ function f:Rⁿ → R. This implies $𝓟^{∞}$ approximation of definable continuous functions and gluing of $𝓟^{∞}$ functions defined on closed definable sets.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Fischer A.

1 2008

1 2007

Wyniki wyszukiwania

Extending o-minimal Fréchet derivatives

Zero-set property of o-minimal indefinitely Peano differentiable functions