Abstract
For every fixed real p, the continuous real valued functions f defined on a linear topological space and satisfying the functional equation
are determined. For p = 0 or p = 1 this equation coincides with the classical Gołąb-Schinzel equation.
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Dedicated to Professor Janos Aczel on the occasion of his 85th birthday
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Matkowski, J. A generalization of the Gołąb-Schinzel functional equation. Aequat. Math. 80, 181–192 (2010). https://doi.org/10.1007/s00010-010-0045-y
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DOI: https://doi.org/10.1007/s00010-010-0045-y