Work

Sharp Uniform Thresholds for a Two-Parameter Power-Function Inequality

Year: 2026

Type: preprint

Abstract: A symmetric two-parameter power-function defect has a sharp threshold for nonnegativity on upper squares. The threshold is characterized by one scalar equation, decreases with dimension, and is asymptotic to two divided by the square of the dimension. The proof gives the equality cases, the unique sign change below threshold, and a simplex-volume interpretation.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.23887928

Author: Guo, Ziping

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225115187

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