Beyond Rolle's Theorem,
Abstract
The concept and existence of higher-order Rolle's theorems are introduced, and a summary of results for polynomials of degree up to 5 follows. The general topic at hand is what kinds of restrictions there are on the placement of roots of various derivatives. The surprising result is that Rolle's theorem is not the only such restriction.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1992
- Accession Number
- ADP006607
Entities
People
- Bruce Anderson
Organizations
- Army Research Office