33 citations · 149 across the 36 of their papers we have counts for
7 papers · 1 filter
Non-existence of (76,30,8,14) strongly regular graph
A. V. Bondarenko, A. Prymak, D. Radchenko
We prove the non-existence of strongly regular graph with parameters . We use Euclidean representation of a strongly regular graph together with a new lower bound on…
On Nikol'skii inequalities for domains in
Z. Ditzian, A. Prymak
Nikol'skii inequalities for various sets of functions, domains and weights will be discussed. Much of the work is dedicated to the class of algebraic polynomials of total degree $n…
Convex polynomial approximation in with Freud weights
Oleksandr Maizlish, Andriy Prymak
We show that for multivariate Freud-type weights , , any convex function on satisfying if , or $\lim_{|x|\to\i…
On concentrators and related approximation constants
A. V. Bondarenko, A. Prymak, D. Radchenko
Pippenger ([Pippenger, 1977]) showed the existence of -concentrator for each positive integer using a probabilistic method. We generalize his approach and prove e…
Discrete -dimensional moduli of smoothness
Z. Ditzian, A. Prymak
We show that on the -dimensional cube the discrete moduli of smoothness which use only the values of the function on a diadic mesh are sufficient to determin…
Constrained Spline Smoothing
K. Kopotun, D. Leviatan, A. Prymak
Several results on constrained spline smoothing are obtained. In particular, we establish a general result, showing how one can constructively smooth any monotone or convex piecewi…
Convexity, Moduli of Smoothness and a Jackson-Type Inequality
Zeev Ditzian, Andriy Prymak
For a Banach space of functions which satisfies for some a significant improvem…