Orthogonality and quintic functional equations (Q353617)
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scientific article; zbMATH DE number 6188470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonality and quintic functional equations |
scientific article; zbMATH DE number 6188470 |
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Orthogonality and quintic functional equations (English)
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16 July 2013
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The authors prove the Hyers-Ulam stability of the following orthogonally quintic functional equation \[ \begin{multlined} f(3x+y)-5f(2x+y)+f(2x-y)+10f(x+y)-5f(x-y)\\ =10f(y)+f(3x)-3f(2x)-27f(x)\end{multlined} \] in Banach spaces and non-Archimedean Banach spaces equipped with an orthogonality.
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Hyers-Ulam stability
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orthogonally quintic functional equation
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fixed point method
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orthogonality space
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non-Archimedean Banach space
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