New sharp weighted Alexandrov-Fenchel and Minkowski inequalities are derived for smooth closed hypersurfaces under convexity assumptions in space forms, using arbitrary convex non-decreasing positive weights.
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Alexandrov-Fenchel type inequalities with convex weight in space forms
New sharp weighted Alexandrov-Fenchel and Minkowski inequalities are derived for smooth closed hypersurfaces under convexity assumptions in space forms, using arbitrary convex non-decreasing positive weights.