The validity of Shapiro’s cyclic inequality
The validity of Shapiro’s cyclic inequality
A cyclic sum <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S Subscript upper N Baseline left-parenthesis bold x right-parenthesis equals sigma-summation x Subscript i Baseline slash left-parenthesis x Subscript i plus 1 Baseline plus x Subscript i plus 2 Baseline right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>S</mml:mi> <mml:mi>N</mml:mi> </mml:msub> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> …