On approximate Peano derivatives
✍ Scribed by H. Fejzić
- Publisher
- Akadmiai Kiad
- Year
- 1994
- Tongue
- English
- Weight
- 656 KB
- Volume
- 65
- Category
- Article
- ISSN
- 1588-2632
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📜 SIMILAR VOLUMES
A function f : ޒ ª ޒ is said to have an nth Generalized Peano Derivative Ž . GPD at x if f is continuous in a neighborhood of x and there exists an integer Ž . kG0 such that the kth primitive of f has a k q n th Peano derivative at x. An example shows that sometimes no such k exists. In this cas
## Abstract The notion of Peano differentiability generalizes the differentiability in the usual sense to higher order. Peano differentiable functions have derivatives which are sometimes differentiable or continuous or not even locally bounded. We give a complete characterisation of the sets in wh