Z. Ditzian

most citedOn Nikol'skii inequalities for domains in

R^{d}

28 citations · 37 across the 4 of their papers we have counts for

collaborators

4 papers

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.NA2014

Discrete $d$ -dimensional moduli of smoothness

Z. Ditzian, A. Prymak

We show that on the $d$ -dimensional cube $I^{d} \equiv [0, 1]^{d}$ the discrete moduli of smoothness which use only the values of the function on a diadic mesh are sufficient to determin…

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…

math.CA2007

Polynomial Approximation and $ω_{ϕ}^{r} (f, t)$ Twenty Years Later

Z. Ditzian

About twenty years ago the measure of smoothness $ω_{ϕ}^{r} (f, t)$ was introduced and related to the rate of polynomial approximation. In this article we survey developments about this…

On Nikol'skii inequalities for domains in Rd

Discrete d-dimensional moduli of smoothness

Convexity, Moduli of Smoothness and a Jackson-Type Inequality

Polynomial Approximation and ωϕr​(f,t) Twenty Years Later

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

Discrete $d$ -dimensional moduli of smoothness

Polynomial Approximation and $ω_{ϕ}^{r} (f, t)$ Twenty Years Later