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Differentiable solutions of a functional equation related to the non-power means

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Summary.

We deal with solving a functional equation in two variables¶¶x + g (y + f (x)) = y + g (x + f (y)), ¶ where f, g are twice differentiable functions mapping the real line into itself.

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  1. Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007 Katowice, Poland , , , , , , PL

    J. Sikorska

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  1. J. Sikorska
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Received: November 28, 1995; revised version: July 1, 1996

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Sikorska, J. Differentiable solutions of a functional equation related to the non-power means. Aequ. Math. 55, 146–152 (1998). https://doi.org/10.1007/s000100050026

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  • DOI: https://doi.org/10.1007/s000100050026

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