In search of Newton-type inequalities

DOI10.1016/j.jmaa.2024.128349MaRDI QIDQ6539285

Boris Zalmanovich Shapiro, Olga M. Katkova, Anna M. Vishnyakova

Publication date: 14 May 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Descartes' rule of signsNewton inequalitiesHutchinson's theoremnumber of real zeros of a real polynomial

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) Inequalities for trigonometric functions and polynomials (26D05)

Cites Work

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• On a remarkable class of entire functions.
• Problems around polynomials: the good, the bad and the ugly\dots
• A remark about positive polynomials
• A Sufficient Condition for All the Roots of a Polynomial To Be Real
• A Tropical Analog of Descartes’ Rule of Signs

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