Nearly radical quadratic functional equations in \(p-2\)-normed spaces (Q417213)
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scientific article; zbMATH DE number 6034259
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nearly radical quadratic functional equations in \(p-2\)-normed spaces |
scientific article; zbMATH DE number 6034259 |
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Nearly radical quadratic functional equations in \(p-2\)-normed spaces (English)
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14 May 2012
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Summary: We establish some stability results in 2-normed spaces for the radical quadratic functional equation \(f(\sqrt{\sum^n_{i=1}(x_i +y_i)^2)} + f(\sqrt{\sum^n_{i=1}(x_i - y_i)^2)} = 2 \sum^n_{i=1}(f(x_i) + f(y_i))\) and then use subadditive functions to prove its stability in \(p\)-2-normed spaces.
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