Fuzzy stability of Jensen-type quadratic functional equations (Q1030630)
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scientific article; zbMATH DE number 5574398
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy stability of Jensen-type quadratic functional equations |
scientific article; zbMATH DE number 5574398 |
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Fuzzy stability of Jensen-type quadratic functional equations (English)
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2 July 2009
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Summary: We prove the generalized Hyers-Ulam stability of the following quadratic functional equations \[ 2f((x+y)/2)+2f((x - y)/2)=f(x)+f(y) \] and \[ f(ax+ay)+(ax - ay)=2a^{2}f(x)+2a^{2}f(y) \] in fuzzy Banach spaces for a nonzero real number \(a\) with \(a\neq \pm 1/2\).
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Hyers-Ulam stability
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quadratic functional equations
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fuzzy Banach spaces
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0.97935426
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0.9761952
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0.96524405
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0.96032065
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0.9542856
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0.9524858
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