Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University,
P.O. Box 14115-134, Tehran, Iran
Copyright © 2012 Akram Mohammadpouri and S. M. B. Kashani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
By using the operator , we define the notions of rth order and rth type of a Euclidean hypersurface. By the use of these notions, we are able to obtain some sharp estimates of the ()th mean curvature for a closed hypersurface of the Euclidean space in terms of rth order.