Higher order Turán inequalities
Higher order Turán inequalities
The celebrated Turán inequalities <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper P Subscript n Superscript 2 Baseline left-parenthesis x right-parenthesis minus upper P Subscript n minus 1 Baseline left-parenthesis x right-parenthesis upper P Subscript n plus 1 Baseline left-parenthesis x right-parenthesis greater-than-or-equal-to 0"> <mml:semantics> <mml:mrow> <mml:msubsup> <mml:mi>P</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi>n</mml:mi> </mml:mrow> <mml:mrow …