Minkowski sums of Cantor-type sets

• Autorzy: Kazimierz Nikodem , Zsolt Páles
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 52A37: Other problems of combinatorial convexity
• 39B62: Functional inequalities, including subadditivity, convexity, etc.
• 28A80: Fractals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 119
• Numer: 1
• Strony: 95-108

Daty

wydano

2010

Twórcy

autor

Kazimierz Nikodem

• Department of Mathematics and Computer Science, University of Bielsko-Biała, Willowa 2, 43-309 Bielsko-Biała, Poland

autor

Zsolt Páles

• Institute of Mathematics, University of Debrecen, H-4010 Debrecen, Pf. 12, Hungary

Identyfikatory

DOI

10.4064/cm119-1-5