Norm estimates relating polynomials and their derivatives
Norm estimates relating polynomials and their derivatives
Inequalities bounding <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Subscript p Baseline left-parenthesis p greater-than 0 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>></mml:mo> <mml:mn>0</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">{L_p}(p > 0)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> norms of a polynomial by suitable norms of the derivative …