Exponential Polynomials and Stratification in the Theory of Analytic Inequalities
General Mathematics
2023-10-24 v2
Abstract
This paper considers MEP - Mixed Exponential Polynomials as one class of real exponential polynomials. We introduce a method for proving the positivity of MEP inequalities over positive intervals using the Maclaurin series to approximate the exponential function precisely. Additionally, we discuss the relation between MEPs and stratified families of functions from [Malesevic_Mihailovic_2021] through two applications, referring to inequalities from papers [Wu_Zhang_2004] and [Chesneau_Bagul_Dhaigude_2022].
Keywords
Cite
@article{arxiv.2306.16202,
title = {Exponential Polynomials and Stratification in the Theory of Analytic Inequalities},
author = {Branko Malesevic and Milos Micovic},
journal= {arXiv preprint arXiv:2306.16202},
year = {2023}
}