Curvature functionals on convex bodies
نویسندگان
چکیده
Abstract We investigate the weighted $L_p$ affine surface areas which appear in recently established Steiner formula of Brunn–Minkowski theory. show that they are valuations on set convex bodies and prove isoperimetric inequalities for them. related to f divergences cone measures body its polar, namely Kullback–Leibler divergence Rényi divergence.
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ژورنال
عنوان ژورنال: Canadian mathematical bulletin
سال: 2022
ISSN: ['1496-4287', '0008-4395']
DOI: https://doi.org/10.4153/s0008439522000716