THE MONOTONY PROPERTIES OF GENERALIZED PROJECTION BODIES, INTERSECTION BODIES AND CENTROID BODIES
نویسندگان
چکیده
منابع مشابه
Volume difference inequalities for the projection and intersection bodies
In this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. Following this, we establish the Minkowski and Brunn-Minkowski inequalities for volumes difference function of the projection and intersection bodies.
متن کاملvolume difference inequalities for the projection and intersection bodies
in this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. following this, we establish the minkowski and brunn-minkowski inequalities for volumes difference function of the projection and intersection bodies.
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The sharp affine isoperimetric inequality that bounds the volume of the centroid body of a star body (from below) by the volume of the star body itself is the Busemann-Petty centroid inequality. A decade ago, the Lp analogue of the classical BusemannPetty centroid inequality was proved. Here, the definition of the centroid body is extended to an Orlicz centroid body of a star body, and the corr...
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2006
ISSN: 0304-9914
DOI: 10.4134/jkms.2006.43.3.609