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For strictly increasing concave functions $${\varphi}$$φ whose inverse functions are log-concave, the $${\varphi}$$φ-Brunn–Minkowski inequality for planar convex bodies is established. It is shown that for convex bodies in $${\mathbb{R}^n}$$Rn the… Click to show full abstract
For strictly increasing concave functions $${\varphi}$$φ whose inverse functions are log-concave, the $${\varphi}$$φ-Brunn–Minkowski inequality for planar convex bodies is established. It is shown that for convex bodies in $${\mathbb{R}^n}$$Rn the $${\varphi}$$φ-Brunn–Minkowski is equivalent to the $${\varphi}$$φ-Minkowski mixed volume inequalities.
Keywords:
varphi brunn;
minkowski inequality;
brunn minkowski
Journal Title: Acta Mathematica Hungarica
Year Published: 2018
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Journal Title: Acta Mathematica Hungarica
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!