Stability of Bi-Additive Mappings and Bi-Jensen Mappings

Autor: Jae-Hyeong Bae, Won-Gil Park
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Symmetry, Vol 13, Iss 7, p 1180 (2021)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym13071180
Popis: Symmetry is repetitive self-similarity. We proved the stability problem by replicating the well-known Cauchy equation and the well-known Jensen equation into two variables. In this paper, we proved the Hyers-Ulam stability of the bi-additive functional equation f(x+y,z+w)=f(x,z)+f(y,w) and the bi-Jensen functional equation 4fx+y2,z+w2=f(x,z)+f(x,w)+f(y,z)+f(y,w).
Databáze: Directory of Open Access Journals
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