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Details for article 1 of 6 found articles
| Title: |
About the second term of the asymptotics for optimal Riesz energy on the sphere in the potential-theoretical case |
| Author: |
Brauchart, Johann S. |
| Appeared in: |
Integral transforms and special functions |
| Paging: | Volume 17 (2006) nr. 5 pages 321-328 |
| Year: |
2006-05-01 |
| Contents: |
The Riesz energy of N points on the unit sphere is the sum of all Riesz distances 1/rs, s>0, r is the Euclidean distance, among the given points. We show that the normalised optimal energy of N points on the unit sphere interacting through a Riesz potential 1/rs varies from the energy integral, the main term of the asymptotics, at most by a constant times the power N-1+s/d which is the correct order of the second term of the asymptotics. This result is valid over the whole range 0<s<d. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 1 of 6 found articles
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