Measure zero stability problem of a generalized quadratic functional equation
2019
Let X be a normed space, Y be a Banach space and \(f,g: X\rightarrow Y\). In this paper, we investigate the Hyers–Ulam stability theorem for the generalized quadratic functional equation
$$\begin{aligned} f(kx+y)+f(kx-y)=2k^2g(x)+2f(y) \end{aligned}$$
in a set \(\Omega \subset X\times X\), where k is a positive integer. By the Baire category theorem, we derive some consequences of our main result.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
26
References
0
Citations
NaN
KQI