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Bernstein type inequality in monotone rational approximation
Andriy V. Bondarenko, Maryna S. Viazovska
The following analog of Bernstein inequality for monotone rational functions is established: if is an increasing on rational function of degree , then $$ R'(x)<\fra…
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…