We establish some criteria of convexity for compact sets in the Euclidean space. Analogs of these results are extended to complex and hypercomplex cases.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 4, pp. 466–471, April, 2011.
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Zelins’kyi, Y.B., Vyhovs’ka, I.Y. & Tkachuk, M.V. On some criteria of convexity for compact sets. Ukr Math J 63, 538–543 (2011). https://doi.org/10.1007/s11253-011-0522-z
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DOI: https://doi.org/10.1007/s11253-011-0522-z