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On extension of the solutions of the Popoviciu type equations on groups

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Abstract

Let (G,+) be a commutative group and S be its subsemigroup. We show that, under some natural assumptions on (G,+) and S, every solution of the Popoviciu type functional equation on S can be uniquely extended to the solution of the equation on G.

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  1. Faculty of Mathematics and Natural Sciences, University of Rzeszów, ul. Prof. St. Pigonia 1, 35-310, Rzeszów, Poland

    M. Chudziak

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  1. M. Chudziak
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Chudziak, M. On extension of the solutions of the Popoviciu type equations on groups. Acta Math. Hungar. 147, 338–353 (2015). https://doi.org/10.1007/s10474-015-0512-y

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  • DOI: https://doi.org/10.1007/s10474-015-0512-y

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