On the construction of optimal cubature formulae which use integrals over hyperspheres. - Vladislav F. Babenko; Sergiy V. Borodachov (J. Complex., 2007)

Asymptotic White noise Hypothesis for PCM quantization. - Sergiy V. Borodachov; Yang Wang 020 (CISS, 2008)

Optimal recovery of isotropic classes of twice-differentiable multivariate functions. - Vladislav F. Babenko; Sergiy V. Borodachov; Dmytro S. Skorokhodov (J. Complex., 2010)

Optimal cubature formulas for tensor products of certain classes of functions. - Vladislav F. Babenko; Sergiy V. Borodachov; Dmytro S. Skorokhodov (J. Complex., 2011)

Optimal recovery of twice differentiable functions based on symmetric splines. - Sergiy V. Borodachov; Tatyana Sorokina (J. Approx. Theory, 2012)

Low Complexity Methods For Discretizing Manifolds Via Riesz Energy Minimization. - Sergiy V. Borodachov; Douglas P. Hardin; Edward B. Saff (Found. Comput. Math., 2014)

Optimal recovery of three times differentiable functions on a convex polytope inscribed in a sphere. - Sergiy V. Borodachov (J. Approx. Theory, 2018)

Pointwise optimal multivariate spline method for recovery of twice differentiable functions on a simplex. - Sergiy V. Borodachov (CoRR, 2022)

Polarization Problem on a Higher-Dimensional Sphere for a Simplex. - Sergiy V. Borodachov (Discret. Comput. Geom., 2022)

Universal minima of potentials of certain spherical designs contained in the fewest parallel hyperplanes. - Sergiy V. Borodachov (CoRR, 2023)

Absolute minima of potentials of certain regular spherical configurations. - Sergiy V. Borodachov (J. Approx. Theory, 2023)