A Refinement of Vietoris Inequality for Cosine Polynomials

TL;DR

This paper improves the classical Vietoris cosine inequality by establishing a positive polynomial lower bound, enhancing the understanding of cosine polynomial bounds.

Contribution

It introduces a refined version of the Vietoris inequality with a positive polynomial lower bound, advancing the theoretical framework.

Findings

Established a new positive polynomial lower bound for cosine polynomials

Refined the classical Vietoris inequality with sharper bounds

Enhanced theoretical understanding of cosine polynomial inequalities

Abstract

The classical Vietoris cosine inequality is refined by establishing a positive polynomial lower bound.