Sums of Distances Between Points on a Sphere
- 1 October 1972
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 35 (2) , 547-549
- https://doi.org/10.2307/2037644
Abstract
An upper bound for the sum of the th powers of all distances determined by N points on a unit sphere is given for <!-- MATH $0 \leqq \lambda \leqq 1$ --> .
Keywords
This publication has 4 references indexed in Scilit:
- On the sum of distances determined by a pointsetActa Mathematica Hungarica, 1956
- Distributions of positive mass, which maximize a certain generalized energy integralArkiv för Matematik, 1956
- Metric Spaces and Positive Definite FunctionsTransactions of the American Mathematical Society, 1938
- On Certain Metric Spaces Arising From Euclidean Spaces by a Change of Metric and Their Imbedding in Hilbert SpaceAnnals of Mathematics, 1937