Work

Cauchy–Schwarz-type inequalities for solutions of Levi-Civita-type functional equations

Year: 2025

Type: article

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 a commutative ring, then we can establish the existence of nontrivial additive functions satisfying inequalities connected to the multiplicative structure.

Source: Periodica Mathematica Hungarica

Authors: Zsolt Páles, Mahmood Kamil Shihab

Institutions: University of Debrecen, University of Kirkuk

Language: English

Topic: Functional Equations Stability Results

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Debreceni Egyetem, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal

Award: G7068216896