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On a polygonal mean value property

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Abstract

We give a characterization of continuous functions in a complex plane domain satisfying a weighted polygonal mean value property.

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Acknowledgements

The author would like to thank the anonymous referee for pointing out some inaccuracies in the previous statement of Theorem 2.1.

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  1. Jan Kochanowski University in Kielce, Uniwersytecka 7, 25-406, Kielce, Poland

    Grzegorz Łysik

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  1. Grzegorz Łysik
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Correspondence to Grzegorz Łysik.

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Łysik, G. On a polygonal mean value property. Aequat. Math. 96, 1249–1258 (2022). https://doi.org/10.1007/s00010-022-00882-6

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  • DOI: https://doi.org/10.1007/s00010-022-00882-6

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