Beyond Descartes’ rule of signs

نویسندگان

چکیده

We consider real univariate polynomials with all roots real. Such a polynomial c sign changes and p preservations in the sequence of its coefficients has positive negative counted multiplicity. Suppose that moduli are distinct; we them as ordered on half-axis. ask question: If positions known, what can be? prove several new results which show how far from trivial answer to this question is.

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ژورنال

عنوان ژورنال: Constructive mathematical analysis

سال: 2023

ISSN: ['2651-2939']

DOI: https://doi.org/10.33205/cma.1252639