Abstract
Geometric and functional Brunn-Minkowski type inequalities for the lattice point enumerator Gn(⋅) are provided. In particular, we show thatGn((1−λ)K+λL+(−1,1)n)1/n≥(1−λ)Gn(K)1/n+λGn(L)1/n for any non-empty bounded sets K,L⊂Rn and all λ∈(0,1).We also show that these new discrete versions imply the classical results, and discuss some links with other related inequalities.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
