Quantitative stability for the Brunn–Minkowski inequality
© 2016 We prove a quantitative stability result for the Brunn–Minkowski inequality: if |A|=|B|=1, t∈[τ,1−τ] with τ>0, and |tA+(1−t)B|1/n≤1+δ for some small δ, then, up to a translation, both A and B are quantitatively close (in terms of δ) to a convex set K.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier BV
2021
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| Online Access: | https://hdl.handle.net/1721.1/135731 |