Riesz polarization inequalities in higher dimensions
نویسندگان
چکیده
منابع مشابه
Riesz polarization inequalities in higher dimensions
We derive bounds and asymptotics for the maximum Riesz polarization quantity M n(A) := max x1,x2,... ,xn∈A min x∈A n ∑ j=1 1 |x− xj |p (which is n times the Chebyshev constant ) for quite general sets A ⊂ R with special focus on the unit sphere and unit ball. We combine elementary averaging arguments with potential theoretic tools to formulate and prove our results. We also give a discrete vers...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2013
ISSN: 0021-9045
DOI: 10.1016/j.jat.2013.03.003