The authors establish weighted Minkowski inequalities and quantitative stability for weighted Alexandrov-Fenchel inequalities for nearly spherical sets in space forms using convex weights.
Glaudo, Minkowski inequality for nearly spherical domains , Advances in Mathematics, 2022, 408: 108595
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On the new weighted geometric inequalities near the sphere in space forms
The authors establish weighted Minkowski inequalities and quantitative stability for weighted Alexandrov-Fenchel inequalities for nearly spherical sets in space forms using convex weights.