Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Extremum of Mahler volume for generalized cylinder in R3 | Journal of Inequalities and Applications SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. Extremum of Mahler volume for generalized cylinder in R3 Journal of Inequalities and Applications 2012 2012 3 doi 1029-242X-2012-3 Hu Yan huyan12@ ISSN 1029-242X Article type Research Submission date 8 September 2011 Acceptance date 9 January 2012 Publication date 9 January 2012 Article URL http content 2012 1 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Journal of Inequalities and Applications go to http authors instructions For information about other SpringerOpen publications go to http 2012 Yan licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Extremum of Mahler volume for generalized cylinder in R3 Hu Yan Department of Mathematics Shanghai University of Electric Power Shanghai 200090 China Email address huyan12@ Abstract A special case of Mahler volume for the class of symmetric convex bodies in R3 is treated here. It is shown that a cube has the minimal Mahler volume and a cylinder has the maximal Mahler volume for all generalized cylinders. Further the Mahler volume of bodies of revolution obtained by rotating the unit disk in R2 is presented. 2000 Mathematics Subject Classification 52A20 52A40. Keywords Mahler volume convex body polar body body of revolution. 1 Introduction Throughout this article a convex body K in .
