Differentiable solutions of a functional equation related to the non-power means (Q1381548)
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scientific article; zbMATH DE number 1130467
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differentiable solutions of a functional equation related to the non-power means |
scientific article; zbMATH DE number 1130467 |
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Differentiable solutions of a functional equation related to the non-power means (English)
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19 July 1998
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The author offers the general \(C^{2}\) solutions \(f,g\) of the functional equation \(x+g(y+f(x))=y+g(x+f(y))\) obtained by \textit{M. E. Kuczma} [Aequationes Math. 45, No. 2-3, 300-321 (1993; Zbl 0787.39007)] in connection with compatibility of means (he determined its analytic solutions).
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functional equation
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twice differentiable solution
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compatibility of mean values
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0.9343528
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0.9156363
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0.9023467
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0.8978729
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0.89731836
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0.8948658
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