Geodesic
Minkowski sums of Cantor-type sets
Kazimierz Nikodem1 ; Zsolt Páles2
1Department of Mathematics and Computer Science University of Bielsko-Biała Willowa 2 43-309 Bielsko-Biała, Poland
2Institute of Mathematics University of Debrecen H-4010 Debrecen, Pf. 12, Hungary
Colloquium Mathematicum, Tome 119 (2010) no. 1, pp. 95-108
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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.
DOI : 10.4064/cm119-1-5
Mots-clés : classical steinhaus theorem minkowski sum cantor set generalized large class fractals determined hutchinson type operators numerous examples illustrating results obtained application t convex functions presented

Kazimierz Nikodem  1   ; Zsolt Páles  2

1 Department of Mathematics and Computer Science University of Bielsko-Biała Willowa 2 43-309 Bielsko-Biała, Poland
2 Institute of Mathematics University of Debrecen H-4010 Debrecen, Pf. 12, Hungary 
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Kazimierz Nikodem; Zsolt Páles. Minkowski sums of Cantor-type sets. Colloquium Mathematicum, Tome 119 (2010) no. 1, pp. 95-108. doi: 10.4064/cm119-1-5

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