Year: 2024
Type: preprint
Abstract: The main goal of this paper is to show that if a real valued function defined on a groupoid satisfies a certain Levi--Civita-type functional equation, then it also fulfills a Cauchy--Schwarz-type functional inequality. In particular, if the groupoid is the multiplicative structure of commutative ring, then we can establish the existence of nontrivial additive functions satisfying inequalities connected to the multiplicative structure.
Source: arXiv (Cornell University)
Authors: Páles, Zsolt, Shihab, Mahmood Kamil
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G2663030701, G7068216896
OpenAlex ID: W4391871125