Teaching

• Math 1510 Applied Calculus I
• Math 2450 Combinatorial Mathematics

Mathletics at UofM

Publications

• Approximation by dilated averages and K-functionals, Canadian Journal of Mathematics, accepted on Dec. 10, 2008, with Z. Ditzian
• Nearly monotone and nearly convex approximation by smooth splines in Lp, p>0, Journal of Approximation Theory, accepted on Feb. 5, 2008, with K. Kopotun and D. Leviatan
• Nikol'skii inequalities for Lorentz spaces, Rocky Mountain Journal of Mathematics, accepted on Aug. 27, 2007, with Z. Ditzian
• Constrained spline smoothing, SIAM Journal on Numerical Analysis, 46 (2008), no. 4,1985-1997, with K. Kopotun and D. Leviatan
• Ul'yanov-type inequality for bounded convex sets in Rd, Journal of Approximation Theory, 151 (2008), no. 1, 60-85, with Z. Ditzian
• Sharp Marchaud and converse inequalities in Orlicz spaces, Proceedings of the American Mathematical Society, 135 (2007) 1115-1121, with Z. Ditzian
• Nearly monotone spline approximation in Lp, Proceedings of the American Mathematical Society, 134 (2006) 2037-2047, with K. Kopotun and D. Leviatan
• On 3-monotone approximation by piecewise polynomials, Journal of Approximation Theory, 133 (2005) 147-172, with D. Leviatan
• Smoothing of 3-convex splines of 4-th degree with shape preservation, Ukrainian Mathematical Journal, 57 2 (2005) 277-283 [in Ukrainian]
• Negative results in high-order shape preserving approximation, Matematicheskie Zametki, 76 6 (2004) 812-823 [in Russian], translated in Mathematical Notes, 76 6 (2004) 758-769, with A. V. Bondarenko
• Convex multivariate approximation by algebras of continuous functions, Proceedings of International Conference "Advances in Constructive Approximation" (USA), 2004, 123-131, with A. V. Bondarenko
• Three-convex approximation by quadratic splines with arbitrary fixed knots, East Journal on Approximations, 8 2 (2002) 185-196