A clear formulation of two Gauss’s inequalities is given, and their transparent proof based on the well-known fundamental results is presented. A simple method of constructing a partition of the parameter domain of the problem is proposed. An explicit form of the extreme distribution functions is found.
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Translated from Kibernetyka ta Systemnyi Analiz, No. 2, March–April, 2023, pp. 64–71.
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Stoikova, L.S. An Alternative Proof of Gauss’s Inequalities. Cybern Syst Anal 59, 231–237 (2023). https://doi.org/10.1007/s10559-023-00557-3
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DOI: https://doi.org/10.1007/s10559-023-00557-3