Stability of a functional inequality associated with the Jordan-von Neumann functional equation (Q2490642)
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| Language | Label | Description | Also known as |
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| English | Stability of a functional inequality associated with the Jordan-von Neumann functional equation |
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Stability of a functional inequality associated with the Jordan-von Neumann functional equation (English)
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18 May 2006
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The Hyers-Ulam stability of the functional inequality \[ \| 2 f(x)+2f(y)-f(x-y)\| \leq \| f(x+y)\| ,\quad (\text{for all }x,y) \] is investigated in the spirit of \textit{P. Găvruţă}'s paper [J. Math. Anal. Appl. 184, 431--436 (1994; Zbl 0818.46043)].
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Hyers-Ulam stability
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functional inequality
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quadratic functionals
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