Geodesic
Minkowski sums of Cantor-type sets
Kazimierz Nikodem1 ; Zsolt Páles2
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
Colloquium Mathematicum, Tome 119 (2010) no. 1, pp. 95-108

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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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