Minkowski sums of Cantor-type sets
Volume 119 / 2010
Colloquium Mathematicum 119 (2010), 95-108 MSC: Primary 28A80; Secondary 52A37, 39B62. DOI: 10.4064/cm119-1-5
The classical Steinhaus theorem on the Minkowski sum of the Cantor set is generalized to a large class of fractals determined by Hutchinson-type operators. Numerous examples illustrating the results obtained and an application to $t$-convex functions are presented.