Hosszú type functional equations on Lie algebras
In this paper the functional equation f(x+y−[x,y])+f([x,y]) = f(x) +f(y) is investigated with the unknown continuous function f : L → Y which satisfies the equation for all x,y ∈ L where L is a finite dimensional normed real vector space equipped with a bilinear, anti-commutative operation [·, ·]: L2 → L, and Y is finite dimensional, normed, real vector space. Some Pexider generalisations of the above equation are also investigated in this paper.
Authors
- Tamás Glavosits (ORCID: https://orcid.org/0000-0001-6466-8948)
- József Túri (ORCID: https://orcid.org/0000-0002-0467-6521)
Institutions
- University of Miskolc (HU)
Publication Details
- Journal
- Az Eszterházy Károly Tanárképző Főiskola tudományos közleményei. Tanulmányok a matematikai tudományok köréből/Az Eszterházy Károly Főiskola tudományos közleményei. Tanulmányok a matematikai tudományok köréből/Annales mathematicae et informaticae
- Published
- 2025-01-01
- DOI
- https://doi.org/10.33039/ami.2025.03.003
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.00