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In recent years, it has been shown that some classical inequalities follow from a local stochastic dominance for naturally associated random polytopes. We strengthen planar isoperimetric inequalities by attaching a… Click to show full abstract
In recent years, it has been shown that some classical inequalities follow from a local stochastic dominance for naturally associated random polytopes. We strengthen planar isoperimetric inequalities by attaching a stochastic model to some classical inequalities, such as Mahler’s Theorem, and a reverse Lutwak-Zhang inequality, the polar for Lp centroid bodies. In particular, we obtain the dual counterpart to a result of Bisztriczky-Böröczky.
Keywords:
isoperimetric inequalities;
stochastic reverse;
reverse isoperimetric;
reverse;
inequalities plane
Journal Title: Geometriae Dedicata
Year Published: 2021
Link to full text (if available)
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Journal Title: Geometriae Dedicata
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!