Functional inequalities associated with Cauchy additive functional equation in non-Archimedean spaces (Q659560)
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scientific article; zbMATH DE number 5999670
| Language | Label | Description | Also known as |
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| English | Functional inequalities associated with Cauchy additive functional equation in non-Archimedean spaces |
scientific article; zbMATH DE number 5999670 |
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Functional inequalities associated with Cauchy additive functional equation in non-Archimedean spaces (English)
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23 January 2012
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Summary: We investigate the generalized Hyers-Ulam stability of the functional inequalities \[ \| f((x + y + z)/4) + f((3x - y - 4z)/4) + f((4x + 3z)/4)\| \leq \| 2f(x)\| \] and \[ \| f((y - x)/3) + f((x - 3z)/3) + f((3x + 3z - y)/3)\| \leq \| f(x) \| \] in non-Archimedean normed spaces in the spirit of Th. M. Rassias's stability approach.
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Cauchy additive functional equation
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Hyers-Ulam stability
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functional inequalities
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non-Archimedean normed spaces
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