LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres Academic Article

abstract

• Let S{double-struck}d denote the unit sphere in the Euclidean space R{double-struck}d+1(d1). We develop LeVeque type inequalities for the discrepancy between the rotationally invariant probability measure and the normalized counting measures on S{double-struck}d. We obtain both upper bound and lower bound estimates. We then use these inequalities to estimate the discrepancy of the normalized counting measures associated with minimal energy configurations on S{double-struck}d. 2010 Elsevier Inc.

authors

• Narcowich, Francis
• Ward, Joseph

published proceedings

• JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

• Narcowich, F. J., Sun, X., Ward, J. D., & Wu, Z.

citation count

• 9

complete list of authors

• Narcowich, FJ||Sun, X||Ward, JD||Wu, Z

publication date

• June 2010

publisher

• Elsevier  Publisher

published in

• Journal of Approximation Theory  Journal

keywords

• Discrepancy
• Leveque Type Inequalities
• Minimal Energy
• Spherical Harmonics

Digital Object Identifier (DOI)

• 10.1016/j.jat.2010.01.003

start page

• 1256

end page

• 1278

volume

• 162

issue

• 6

URL

• http://dx.doi.org/10.1016/j.jat.2010.01.003

user-defined tag

• 10 Reduced Inequalities