On non-differentiable convex functions
β Scribed by Craven, B.D.; Glover, B.M.
- Book ID
- 121270178
- Publisher
- Taylor and Francis Group
- Year
- 1985
- Tongue
- English
- Weight
- 209 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0233-1934
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π SIMILAR VOLUMES
We develop the notion of local fractional derivative introduced by Kolvankar and Gangal. It allows a fine study of the local structure of irregular (fractal) functions. Using this tool, we extend classical theorems of analysis (extrema, Rolle) to non-differentiable functions. In particular, we prove
Under the Euclidean metric in 3-space, the bisectors of three points intersect in at most one connected componentnamely, a line. In contrast to this, we show that, under non-smooth convex distance functions, there is no general upper bound to the number of connected components of the intersection of