Fuzzy stability of an \(n\)-dimensional quadratic and additive functional equation (Q446362)
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scientific article; zbMATH DE number 6078093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy stability of an \(n\)-dimensional quadratic and additive functional equation |
scientific article; zbMATH DE number 6078093 |
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Fuzzy stability of an \(n\)-dimensional quadratic and additive functional equation (English)
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6 September 2012
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Summary: We will investigate a fuzzy version of stability for the functional equation \(2f (\sum^n_{i=1} x_i) + \sum_{1 \leq i, j \leq n, i \neq j} f(x_i - x_j) = (n + 1) \sum^n_{i=1} f(x_i) + (n - 1) \sum^n_{i=1} f(-x_i)\) in the sense of \textit{A. K. Mirmostafaee} and \textit{M. S. Moslehian} [Fuzzy Sets Syst. 159, No. 6, 720--729 (2008; Zbl 1178.46075)].
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fuzzy stability
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functional equation
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0.99498045
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0.9811821
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