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Discrepancy and sums of distances between points of a metric space

Part of the Lecture Notes in Mathematics book series (LNM,volume 490)

Keywords

  • Nonnegative Real Number
  • Symmetric Difference
  • Dimensional Euclidean Space
  • Real Interval
  • Positive Borel Measure

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References

  1. J.B. Kelly, Metric inequalities and symmetric differences. In “Inequalities-II” (O. Shisha, ed.), pp. 193–212. Academic Press, New York, 1970.

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  2. J.B. Kelly, Combinatorial inequalities. In “Combinatorial Structures and Their Applications” (R. Guy, H. Hanani, N. Sauer, and J. Schonheim, eds.), pp. 201–207, Gordon and Breach, New York, 1970.

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  3. J.B. Kelly, Hypermetric spaces and metric transforms. In “Inequalities-III” (O. Shisha, ed.), pp. 149–158. Academic Press, New York, 1972.

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  4. K.F. Roth, On irregularities of distribution, Mathematika 7 (1954), 73–79.

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  5. W.M. Schmidt, Lectures on Irregularities of Distribution, University of Colorado, Boulder, 1973.

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  6. K.B. Stolarsky, Sums of distances between points on a sphere II, Proc. Amer. Math. Soc. 41 (1973), 575–582.

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© 1975 Springer-Verlag

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Stolarsky, K.B. (1975). Discrepancy and sums of distances between points of a metric space. In: Kelly, L.M. (eds) The Geometry of Metric and Linear Spaces. Lecture Notes in Mathematics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081130

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  • DOI: https://doi.org/10.1007/BFb0081130

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07417-5

  • Online ISBN: 978-3-540-37946-1

  • eBook Packages: Springer Book Archive