Minkowski sums of Cantor-type sets
Kazimierz Nikodem; Zsolt Páles
Colloquium Mathematicae (2010)
- Volume: 119, Issue: 1, page 95-108
- ISSN: 0010-1354
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topKazimierz Nikodem, and Zsolt Páles. "Minkowski sums of Cantor-type sets." Colloquium Mathematicae 119.1 (2010): 95-108. <http://eudml.org/doc/283827>.
@article{KazimierzNikodem2010,
abstract = {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.},
author = {Kazimierz Nikodem, Zsolt Páles},
journal = {Colloquium Mathematicae},
keywords = {Minkowski sum; Cantor set; fractal},
language = {eng},
number = {1},
pages = {95-108},
title = {Minkowski sums of Cantor-type sets},
url = {http://eudml.org/doc/283827},
volume = {119},
year = {2010},
}
TY - JOUR
AU - Kazimierz Nikodem
AU - Zsolt Páles
TI - Minkowski sums of Cantor-type sets
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 1
SP - 95
EP - 108
AB - 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.
LA - eng
KW - Minkowski sum; Cantor set; fractal
UR - http://eudml.org/doc/283827
ER -
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