Approximate property of a functional equation with a general involution

In this paper, we prove the Hyers-Ulam stability of the functional equation f(x + y, z + w) + f(x + σ(y),z + τ(w)) = 2f(x, z) + 2f(y, w), where σ, τ are involutions.

Bibliographic Details
Main Authors: Park Won-Gil, Bae Jae-Hyeong
Format: Article
Language:English
Published: De Gruyter 2018-11-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0021/dema-2018-0021.xml?format=INT