A. Prymak

activity

20102026

most citedUniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials

33 citations · 149 across the 36 of their papers we have counts for

collaborators

Showing 2014 · math.CAShow all

4 papers · 2 filters

math.CA2014★ 28 cited

On Nikol'skii inequalities for domains in $R^{d}$

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…

math.CA2014

Convex polynomial approximation in $R^{d}$ with Freud weights

Oleksandr Maizlish, Andriy Prymak

We show that for multivariate Freud-type weights $W_{α} (x) = exp (- ∣ x ∣^{α})$ , $α > 1$ , any convex function $f$ on $R^{d}$ satisfying $f W_{α} \in L_{p} (R^{d})$ if $1 \leq p < \infty$ , or $\lim_{|x|\to\i…

math.CA2014★ 5 cited

On concentrators and related approximation constants

A. V. Bondarenko, A. Prymak, D. Radchenko

Pippenger ([Pippenger, 1977]) showed the existence of $(6 m, 4 m, 3 m, 6)$ -concentrator for each positive integer $m$ using a probabilistic method. We generalize his approach and prove e…

math.CA2014★ 9 cited

Convexity, Moduli of Smoothness and a Jackson-Type Inequality

Zeev Ditzian, Andriy Prymak

For a Banach space $B$ of functions which satisfies for some $m > 0$ $max (∥ F + G ∥_{B}, ∥ F - G ∥_{B}) \geq (∥ F ∥_{B}^{s} + m ∥ G ∥_{B}^{s})^{1/ s}, \forall F, G \in B (*)$ a significant improvem…

On Nikol'skii inequalities for domains in Rd

Convex polynomial approximation in Rd with Freud weights

On concentrators and related approximation constants

Convexity, Moduli of Smoothness and a Jackson-Type Inequality

On Nikol'skii inequalities for domains in $R^{d}$

Convex polynomial approximation in $R^{d}$ with Freud weights