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Volume 59 >>> № 2 MARCH — APRIL 2023

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UDC 519.2

L.S. Stoikova¹

¹ Kyiv, Ukraine

ALTERNATIVE PROOF OF GAUSS’S INEQUALITIES

Abstract. A clear formulation of Gauss’s inequalities is given. A transparent proof based on the well-known fundamental results is presented. In this proof, a simple way of constructing a partition of the domain of the problem parameters is proposed. An explicit form of the extremum distribution functions is also formulated.

Keywords: extreme values, linear functionals, classes of unimodal distribution functions.

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