On the stability of a parametric additive functional equation in quasi-Banach spaces (Q417112)
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scientific article; zbMATH DE number 6034194
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of a parametric additive functional equation in quasi-Banach spaces |
scientific article; zbMATH DE number 6034194 |
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On the stability of a parametric additive functional equation in quasi-Banach spaces (English)
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14 May 2012
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Summary: We investigate the generalized Hyers-Ulam stability of the following functional equation \(\sum^m_{i=1} f(x_i) = 1/2m [\sum^m_{i=1} f(mx_i + \sum^m_{j=1, j\neq i} x_j) + f(\sum^m_{i=1} x_i)]\) for a fixed positive integer \(m\) with \(m \geq 2\) in quasi-Banach spaces.
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