The Peano Curve of Schoenberg is Nowhere Differentiable.
Abstract
Well known are examples of area-filling curves, and of continuous functions which are nowhere differentiable. This paper brings together these two pathological properties by showing that the area-filling curve described, lacks, at every point, a finite derivative.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1980
- Accession Number
- ADA083825
Entities
People
- James Alsina
Organizations
- University of Wisconsin–Madison