Orthogonal stability and nonstability of a generalized quartic functional equation in quasi-\(\beta\)-normed spaces. (English) Zbl 1464.39025
Summary: In this work, we examine the generalized Hyers-Ulam orthogonal stability of the quartic functional equation in quasi-\(\beta\)-normed spaces. Moreover, we prove that this functional equation is not stable in a special condition by a counterexample.
MSC:
| 39B82 | Stability, separation, extension, and related topics for functional equations |
| 39B52 | Functional equations for functions with more general domains and/or ranges |
| 39B55 | Orthogonal additivity and other conditional functional equations |
Keywords:
Hyers-Ulam orthogonal stability; quartic functional equation; quasi-\(\beta\)-normed spacesReferences:
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