On Extend the Domain of (Co)convex Polynomial
Malik Saad Al-Muhja, Amer Himza Almyaly

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.
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Taxonomy
TopicsOptimization and Variational Analysis · Advanced Optimization Algorithms Research · Advanced Banach Space Theory
