6533b871fe1ef96bd12d2384
RESEARCH PRODUCT
An approximate Rolle's theorem for polynomials of degree four in a Hilbert space
Jesús Ferrersubject
Discrete mathematicsClassical orthogonal polynomialsPure mathematicsMacdonald polynomialsRolle's theoremDifference polynomialsGeneral MathematicsDiscrete orthogonal polynomialsOrthogonal polynomialsWilson polynomialsMathematicsMean value theoremdescription
We show that the fourth degree polynomials that satisfy Rolle’s Theorem in the unit ball of a real Hilbert space are dense in the space of polynomials that vanish in the unit sphere. As a consequence, we obtain a sort of approximate Rolle’s Theorem for those polynomials.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-01-01 | Publications of the Research Institute for Mathematical Sciences |