Andriy Prymak

Profile

Select Publications

Name: Andriy Prymak

Position Title: Professor

Office Phone Number: (204) 480-1246

Email: Andriy.Prymak@umanitoba.ca

Research and Teaching Interests

Analysis, approximation theory, combinatorics, convex geometry, numerical analysis

Education

B.Math. Kyiv National Taras Schevchenko
M.Sc. Kyiv National Taras Schevchenko
Ph.D. Kyiv National Taras Schevchenko

Links

http://prymak.net/

https://scholar.google.ca/citations?user=XI40XMwAAAAJ

Bondarenko, A. V.; Prymak, A. and Radchenko, D. (2017). Non-existence of (76,30,8,14) strongly regular graph. Linear Algebra Appl. 527, 53–72.
Prymak, A. (2017). Upper estimates of Christoffel function on convex domains. J. Math. Anal. Appl. 455(2), 1984–2000.
Ditzian, Z. and Prymak, A. (2016). On Nikol’skii inequalities for domains in Rd. Constr. Approx. 44 (1), 23–51.
Kopotun, K. A.; Leviatan, D.; Prymak, A. and Shevchuk, I. A. (2016). Yet another look at positive linear operators, q-monotonicity and applications. J. Approx. Theory 210, 1–22.
Maizlish, O. and Prymak, A. (2015). Convex polynomial approximation in Rd with Freud weights. J. Approx. Theory 192, 60–68.
Ditzian, Z. and Prymak, A. (2014). Discrete d-dimensional moduli of smoothness. Proc. Amer. Math. Soc. 142 (10), 3553–3559.
Bondarenko, A. V.; Prymak, A. and Radchenko, D. (2013). On concentrators and related approximation constants. J. Math. Anal. Appl. 402 (1), 234–241.
Bondarenko, Andriy; Leviatan, Dany and Prymak, Andriy (2012). Pointwise estimates for 3-monotone approximation. J. Approx. Theory 164 (9), 1205–1232.
Ditzian, Z. and Prymak, A. (2011). Convexity, moduli of smoothness and a Jackson-type inequality.Acta Math. Hungar. 130 (3), 254–285.
Ditzian, Z. and Prymak, A. (2011). Extension technique and estimates for moduli of smoothness on domains in Rd. East J. Approx. 17 (2), 171–179.
Kopotun, K. A.; Leviatan, D.; Prymak, A. and Shevchuk, I. A. (2011). Uniform and pointwise shape preserving approximation by algebraic polynomials. Surv. Approx. Theory 6, 24–74.
Ditzian, Z. and Prymak, A. (2010). Approximation by dilated averages and K-functionals. Canad. J. Math. 62 (4), 737–757.
Ditzian, Z. and Prymak, A. (2010). Nikolp̧rime skiı̆ inequalities for Lorentz spaces. Rocky Mountain J. Math. 40 (1), 209–223.
Dzyubenko, G. A.; Kopotun, K. A. and Prymak, A. V. (2010). Three-monotone spline approximation. J. Approx. Theory 162 (12), 2168–2183.
Kopotun, K. A.; Leviatan, D. and Prymak, A. V. (2009). Nearly monotone and nearly convex approximation by smooth splines in Lp, p>0. J. Approx. Theory 160 (1-2), 103–112.
Ditzian, Z. and Prymak, A. (2008). Ulp̧rime yanov-type inequality for bounded convex sets in Rd. J. Approx. Theory 151 (1), 60–85.
Kopotun, K.; Leviatan, D. and Prymak, A. V. (2008). Constrained spline smoothing. SIAM J. Numer. Anal. 46 (4), 1985–1997.
Ditzian, Z. and Prymak, A. V. (2007). Sharp Marchaud and converse inequalities in Orlicz spaces. Proc. Amer. Math. Soc. 135 (4), 1115–1121.
Kopotun, K.; Leviatan, D. and Prymak, A. V. (2006). Nearly monotone spline approximation in Lp. Proc. Amer. Math. Soc. 134 (7), 2037–2047.
Leviatan, D. and Prymak, A. V. (2005). On 3-monotone approximation by piecewise polynomials. J. Approx. Theory 133 (2), 147–172.
Primak, A. V. (2005). Shape-preserving smoothing of 3-convex splines of degree four. Ukraı̈n. Mat. Zh. 57 (2), 277–283.
Bondarenko, Andriy V. and Prymak, Andriy V.. Convex multivariate approximation by algebras of continuous functions. In Advances in constructive approximation: Vanderbilt 2003 123–131. Nashboro Press, Brentwood, TN, 2004.
Bondarenko, A. V. and Primak, A. V. (2004). Negative results in shape-preserving higher-order approximations. Mat. Zametki 76 (6), 812–823.
Prymak, A. V. (2002). Three-convex approximation by quadratic splines with arbitrary fixed knots. East J. Approx. 8 (2), 185–196.