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A remark to the paper of H. Hadwiger ?�berdeckung des Raumes durch translationsgleiche Punktmengen und Nachbarnzahl?
- Source :
- Monatshefte f�r Mathematik. 104:149-152
- Publication Year :
- 1987
- Publisher :
- Springer Science and Business Media LLC, 1987.
-
Abstract
- In the mentioned paper of Hadwiger an upper bound is given for α (A)·N(A), where α (A) is the density of covering ℝn by lattice translates ofA⊂ℝn andN(A) is the number of neighbours ofA. Using “dual” descriptions of α (A) andN(A), in the paper a sharpening of Hadwiger's inequality as well as a lower bound for α (A)·N(A) are proved.
Details
- ISSN :
- 14365081 and 00269255
- Volume :
- 104
- Database :
- OpenAIRE
- Journal :
- Monatshefte f�r Mathematik
- Accession number :
- edsair.doi...........4fba75b49e368859175662219fb9cc40