#### Filter Results:

#### Publication Year

1999

2014

#### Publication Type

#### Co-author

#### Publication Venue

#### Key Phrases

Learn More

In this note we give some sharp estimates for norms of polynomials via the products of norms of their linear terms. Different convex norms on the unit disc are considered.

- A Kroó, D S Lubinsky
- 2012

We establish asymptotics for Christo¤el functions associated with multivariate orthogonal polynomials. The underlying measures are assumed to be regular on a suitable domain-in particular this is true if they are positive a.e on a compact set that admits analytic parametrization. As a consequence, we obtain asymptotics for Christo¤el functions for measures… (More)

- A. Kroó, E. B. Saff, M. Yattselev
- 2005

Remez-type inequalities provide upper bounds for the uniform norms of poly-nomials p on given compact sets K, provided that |p(x)| ≤ 1 for every x ∈ K \E, where E is a subset of K of small measure. In this paper we prove sharp Remez-type inequalities for homogeneous polynomials on star-like surfaces in R d. In particular, this covers the case of spherical… (More)

×ØÖÖØº Let P d n denote the set of real algebraic polynomials of d variables and of total degree at most n. For a compact set K ⊂ Ê d set P K = sup x∈K |P (x)|. d−1 Ó. (Here, as usual, S d−1 stands for the Eucledean unit sphere in Ê d .) Furthermore, given a smooth curve Γ ⊂ Ê d , we denote by D T P the tangential derivative of P along Γ (T is the unit… (More)

- András Kroó, Allan Pinkus
- 2010

This is a survey paper on the subject of strong uniqueness in approximation theory. This is a survey paper on the subject of Strong Uniqueness in approximation theory. The concept of strong uniqueness was introduced by Newman, Shapiro in 1963. They proved, among other things, that if M is a finite-dimensional real Haar space in C(B), B a compact Hausdorff… (More)

- ANDRÁS KROÓ, E. B. SAFF
- 2007

Let K be a compact set in the complex plane having connected and regular complement, and let / be any function continuous on K and analytic in the interior of K. For the polynomials pn(¡) of respective degrees at most n of best uniform approximation to / on K, we investigate the density of the sets of extreme points And) :={zeK: \f{z)-p*n{f)(z)\ =… (More)