Quartic Cyclic Homogeneous Polynomial Inequalities of Three Nonnegative Variables

Zhou, Yuanzhe (2015) Quartic Cyclic Homogeneous Polynomial Inequalities of Three Nonnegative Variables. British Journal of Mathematics & Computer Science, 8 (3). pp. 229-237. ISSN 22310851

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Abstract

We present and prove a set of necessary and sufficient conditions that the inequality f4(x, y, z) ≥ 0 holds for all nonnegative real variables x, y, z, where f4(x, y, z) is a cyclic homogeneous polynomial of degree four which satisfies f4(1, 1, 1) = 0.

Item Type: Article
Subjects: Impact Archive > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 14 Jun 2023 03:18
Last Modified: 09 Jan 2024 06:50
URI: http://research.sdpublishers.net/id/eprint/2477

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