David J. Grynkiewicz

most citedInverse Additive Problems for Minkowski Sumsets I

5 citations · 10 across the 2 of their papers we have counts for

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math.NT2011★ 5 cited

Inverse Additive Problems for Minkowski Sumsets I

G. A. Freiman, D. Grynkiewicz, O. Serra +1

We give the structure of discrete two-dimensional finite sets $A, B \subseteq R^{2}$ which are extremal for the recently obtained inequality $|A+B|\ge (\frac{|A|}{m}+\frac{|B|}{n}-1…

math.NT2010★ 5 cited

Inverse Additive Problems for Minkowski Sumsets II

G. A. Freiman, D. J. Grynkiewicz, O. Serra +1

The Brunn-Minkowski Theorem asserts that $μ_{d} (A + B)^{1/ d} \geq μ_{d} (A)^{1/ d} + μ_{d} (B)^{1/ d}$ for convex bodies $A, B \subseteq R^{d}$ , where $μ_{d}$ denotes the $d$ -dimensional Lebesgue me…