J
2024
Solutions of a Unification of the Cauchy and the Gołab-Schinzel Type Equations on a Cone
KOČAN, Zdeněk and Jacek CHUDZIAK
Basic information
Original name
Solutions of a Unification of the Cauchy and the Gołab-Schinzel Type Equations on a Cone
Authors
KOČAN, Zdeněk (203 Czech Republic, belonging to the institution) and Jacek CHUDZIAK (616 Poland, guarantor)
Edition
Results in Mathematics, Basel, Switzerland, Springer Basel AG, 2024, 1422-6383
Other information
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Switzerland
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 2.200 in 2022
Organization unit
Mathematical Institute in Opava
Keywords in English
Cauchy equation; Convex cone; Goła̧b-Schinzel equation
Tags
International impact, Reviewed
V originále
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.
Displayed: 9/3/2025 22:56