Minkowski sums of Cantor-type sets
Kazimierz Nikodem ; Zsolt Páles
Colloquium Mathematicae, Tome 120 (2010), p. 95-108 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:283827 
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     title = {Minkowski sums of Cantor-type sets},
     journal = {Colloquium Mathematicae},
     volume = {120},
     year = {2010},
     pages = {95-108},
     zbl = {1194.28011},
     language = {en},
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Kazimierz Nikodem; Zsolt Páles. Minkowski sums of Cantor-type sets. Colloquium Mathematicae, Tome 120 (2010) pp. 95-108. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm119-1-5/