On \(l_{2, p}\) -circle numbers

DOI10.1007/s10986-008-9002-zzbMath1159.28003OpenAlexW2063197376MaRDI QIDQ946146

Wolf-Dieter Richter

Publication date: 22 September 2008

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-008-9002-z

zbMATH Keywords

Minkowski planedisintegration of Lebesgue measuregeneralized method of indivisibles\(p\)-generalized uniform distributiongeneralized circle numbersgeneralized perimetergeometry of real numbersgeneralized \(\pi, \pi \)-function

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Well-distributed sequences and other variations (11K36)

Related Items (11)

Exact extreme value, product, and ratio distributions under non-standard assumptions ⋮ Circle numbers of regular convex polygons ⋮ Exact distributions of order statistics of dependent random variables from \(l_{n,p}\)-symmetric sample distributions, \(n\in\{3,4\}\) ⋮ Polyhedral star-shaped distributions ⋮ On the \(\pi \)-function for nonconvex \(l_{2,p}\)-circle discs ⋮ Maximum distributions for \(l_{2,p}\)-symmetric vectors are skewed \(l_{1,p}\)-symmetric distributions ⋮ Geometric aspects of robust testing for normality and sphericity ⋮ Ball numbers of platonic bodies ⋮ Circle numbers for star discs ⋮ Continuous \(l_{n,p}\)-symmetric distributions ⋮ Ellipses numbers and geometric measure representations

Cites Work

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• Generalized spherical and simplicial coordinates
• Inner diameter, perimeter, and girth of spheres
• The self-circumferences of polar convex disks
• π is the Minimum Value for Pi
• The ratio of the length of the unit circle to the area of the unit disc in Minkowski planes
• A Generalization of the Trigonometric Functions
• On the Perimeter and Area of the Unit Disc
• The Isoperimetric Problem in the Minkowski Plane

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