Exponential Polynomials and Stratification in the Theory of Analytic Inequalities

Branko Malesevic; Milos Micovic

doi:10.46939/j.sci.arts-23.3-a07

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arXiv · 2306.16202

Exponential Polynomials and Stratification in the Theory of Analytic Inequalities

Branko Malesevic·Milos Micovic

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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].

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Branko Malesevic, Milos Micovic. 2023-06-28. Exponential Polynomials and Stratification in the Theory of Analytic Inequalities. https://doi.org/10.46939/j.sci.arts-23.3-a07

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