Discrepancy of Minimal Riesz Energy Points
نویسندگان
چکیده
We find upper bounds for the spherical cap discrepancy of set minimizers Riesz s-energy on sphere $$\mathbb S^d.$$ Our results are based a Sobolev introduced by Thomas Wolff in an unpublished manuscript where estimates logarithmic energy S^2$$ were obtained. result improves previously known $$0\le s<2$$ and $$s\ne 1$$ S^2,$$ $$s=0$$ is Wolff’s result, $$d-t_0<s<d$$ with $$t_0\approx 2.5$$ when $$d\ge 3$$ d-1.$$
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2021
ISSN: ['0176-4276', '1432-0940']
DOI: https://doi.org/10.1007/s00365-021-09534-5