Title
On sumsets of convex sets
Abstract
A set of reals A = {a1,.ï戮 .ï戮 .,an} is called convex if ai+1-ai ai-ai-1 for all i. We prove, among other results, that for some c 0 every convex A satisfies |A-A| â聣楼 c|A|8/5log-2/5|A|.
Year
DOI
Venue
2011
10.1017/S0963548311000277
Combinatorics, Probability & Computing
Keywords
Field
DocType
1-ai ai-ai-1,convex set,reals a
Absolutely convex set,Discrete mathematics,Combinatorics,Convex body,Convex combination,Convex hull,Logarithmically convex function,Convex set,Subderivative,Convex analysis,Mathematics
Journal
Volume
Issue
ISSN
20
5
0963-5483
Citations 
PageRank 
References 
10
0.99
3
Authors
2
Name
Order
Citations
PageRank
Tomasz Schoen13612.04
Ilya d. Shkredov2101.32