Work

Solutions of a Unification of the Cauchy and the Gołab-Schinzel Type Equations on a Cone

Year: 2024

Type: article

Abstract: Inspired by a problem of invariance of power series families of probability distributions under binomial thinning, Baron and Wesołowski (Res Math 76:168, 2021) investigated a functional equation being a unification of the Cauchy and the Goła̧b-Schinzel type equations. They determined the solutions of the equation with no or mild regularity assumptions imposed on unknown functions. In this paper we extend their results onto a multi-dimensional case.

Source: Results in Mathematics

DOI: 10.1007/s00025-024-02316-y

Authors: Jacek Chudziak, Zdeněk Kočan

Institutions: University of Rzeszów, Silesian University in Opava

Language: English

Topic: Functional Equations Stability Results

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

OpenAlex ID: W4404523191