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A variant of Maclaurin’s inequality

A variant of Maclaurin’s inequality

The classical Maclaurin inequality asserts that the elementary symmetric means <disp-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="s Subscript k Baseline left-parenthesis y right-parenthesis colon-equal StartFraction 1 Over StartBinomialOrMatrix n Choose k EndBinomialOrMatrix EndFraction sigma-summation Underscript 1 less-than-or-equal-to i 1 greater-than midline-horizontal-ellipsis greater-than i Subscript k Baseline less-than-or-equal-to n Endscripts y Subscript i …