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math.MG2010
Convex Multivariate Approximation by Algebras of Continuous Functions
Andriy Bondarenko, Andriy Prymak
We obtain an analog of Shvedov theorem for convex multivariate approximation by algebras of continuous functions.
math.MG2010
Optimal asymptotic bounds for spherical designs
Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska
In this paper we prove the conjecture of Korevaar and Meyers: for each there exists a spherical -design in the sphere consisting of points, where i…