An Approximate Rolle’s Theorem for Polynomials of Degree Four in a Hilbert Space
Copyright policy ) Ferrer, Jesús;
An Approximate Rolle’s Theorem for Polynomials of Degree Four in a Hilbert Space
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.
- University of Valencia Spain
Calculus of functions on infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, (Spaces of) multilinear mappings, polynomials
Calculus of functions on infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, (Spaces of) multilinear mappings, polynomials
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