An Approximate Rolle’s Theorem for Polynomials of Degree Four in a Hilbert Space | Zendy

Jesús Ferrer | Zendy

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An Approximate Rolle’s Theorem for Polynomials of Degree Four in a Hilbert Space

Author(s) -

Jesús Ferrer

Publication year - 2005

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1145475359

Subject(s) - mathematics , unit sphere , sort , hilbert space , discrete orthogonal polynomials , degree (music) , wilson polynomials , difference polynomials , pure mathematics , classical orthogonal polynomials , orthogonal polynomials , mathematical analysis , arithmetic , physics , acoustics

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.

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