Approximation of the generalized Cauchy–Jensen functional equation in C∗ $C^{*}$-algebras
Abstract In this paper, we prove Hyers–Ulam–Rassias stability of C∗ $C^{*}$-algebra homomorphisms for the following generalized Cauchy–Jensen equation: αμf(x+yα+z)=f(μx)+f(μy)+αf(μz), $$ \alpha\mu f \biggl(\frac{x+y}{\alpha}+z \biggr) = f(\mu x) + f(\mu y) +\alpha f( \mu z), $$ for all μ∈S:={λ∈C∣|λ|...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-09-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1824-6 |