TY - JOUR AU - Cerdán, A. PY - 2006 DA - 2006/12/19 TI - Comparing the relative volume with the relative inradius and the relative width JO - Journal of Inequalities and Applications SP - 54542 VL - 2006 IS - 1 AB - We consider subdivisions of a convex bodyin two subsetsand. We obtain several inequalities comparing the relative volume: (1) with the minimum relative inradius, (2) with the maximum relative inradius, (3) with the minimum relative width, and (4) with the maximum relative width. In each case, we obtain the best upper and lower estimates for subdivisions determined by general hypersurfaces and by hyperplanes. SN - 1029-242X UR - https://doi.org/10.1155/JIA/2006/54542 DO - 10.1155/JIA/2006/54542 ID - Cerdán2006 ER -