On Extend the Domain of (Co)convex Polynomial

TL;DR

This paper explores the behavior of convex and coconvex polynomials, proposing a novel approach different from traditional hyperplane separation methods to analyze convex set domains.

Contribution

It introduces a new method for examining (co)convex polynomials and their convex set domains, diverging from existing hyperplane-based separation techniques.

Findings

New approach to analyze (co)convex polynomials

Simplification of convex and coconvex polynomial terminology

Insights into the behavior of convex set domains

Abstract

We will use different way (in this work) from the existing methods in the literature which speaking in the separation of convex sets was carried out by hyperplanes. We are examining the behavior of convex set which is the domain of convex and coconvex polynomial. We simplify this term as (co)convex polynomial herein.