Radii problems for sections of convex functions
Radii problems for sections of convex functions
A classical theorem of Szegö states that the sections <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f Subscript n Baseline left-parenthesis z right-parenthesis equals z plus sigma-summation Underscript k equals 2 Overscript n Endscripts a Subscript k Baseline z Superscript k"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>n</mml:mi> </mml:msub> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>z</mml:mi> …