On a Cauchy-Jensen functional inequality (Q974325)
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scientific article; zbMATH DE number 5712982
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a Cauchy-Jensen functional inequality |
scientific article; zbMATH DE number 5712982 |
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On a Cauchy-Jensen functional inequality (English)
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27 May 2010
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Applying Hyers' iteration method, the authors present some Hyers-Ulam stability results in Banach modules over a \(C^{\ast}\)-algebra related to the functional inequality \[ \Bigl\|f(x)+f(y)+2f\Bigl(\frac{x+y}{2}+z\Bigr)\Bigr\|\leq2\|f(x+y+z)\|. \]
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Hyers-Ulam stability
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Hyers' iteration
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\(C^{\ast}\)-algebra
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Cauchy-Jensen functional inequality
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Banach modules
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