Quartic Cyclic Homogeneous Polynomial Inequalities of Three Nonnegative Variables

Yuanzhe Zhou

doi:10.9734/BJMCS/2015/16723

Research Article Open access CC BY 4.0

Quartic Cyclic Homogeneous Polynomial Inequalities of Three Nonnegative Variables

Yuanzhe Zhou

Journal of Advances in Mathematics and Computer Science · pp. 229–237 · Published 30 Mar 2015

10.9734/BJMCS/2015/16723

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.

Cyclic homogeneous inequality quartic polynomial nonnegative variables necessary and sufficient conditions

Cited by 1

On a cyclic inequality related to Chebyshev polynomials

Mohammad Javaheri, Harry Shen · Involve, a Journal of Mathematics · 2024

Access this article

View at publisher

Cite this article

Yuanzhe Zhou (2015). Quartic Cyclic Homogeneous Polynomial Inequalities of Three Nonnegative Variables. Journal of Advances in Mathematics and Computer Science , 229–237. https://doi.org/10.9734/BJMCS/2015/16723

Affiliations

Yuanzhe Zhou — Department of Physics, University Claude Bernard Lyon 1, France.

Metrics

3
Views: 0
Downloads: 1
Citations: 0
Outbound

Full metrics

Article metrics

Real usage data collected on this platform.

3

Page views

0

PDF downloads

0

Outbound clicks

1

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.