Abstract
LetK be a convex body inRn, and letx* ? intK be the center of the ellipsoid of the maximal volume inscribed in the body. An arbitrary hyperplane throughx* cutsK into two convex bodiesK+ andK?. We show thatw(K±)/w(K)≤0.844..., wherew(·) is the volume of the inscribed ellipsoid.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
