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- András Kroó
- Journal of Approximation Theory
- 2011

Let P d n be the the space of real algebraic polynomials of d variables and degree at most n, K ⊂ R a compact set, ||p||K := supx∈K |p(x)| the usual supremum norm on K, card(Y ) the cardinality of a finite set Y . A family of sets Y = {Yn ⊂ K, n ∈ N} is called an admissible mesh in K if there exists a constant c1 > 0 depending only on K such that ||p||K ≤… (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 Christoffel 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 Christoffel functions for… (More)

- Tamás Erdélyi, András Kroó
- Journal of Approximation Theory
- 2004

Let Pd n denote the set of real algebraic polynomials of d variables and of total degree at most n. For a compact set K ⊂ Rd set ‖P‖K = sup x∈K |P (x)| . Then the Markov factors on K are defined by Mn(K) := max n ‖DωP‖K : P ∈ Pd n, ‖P‖K ≤ 1 , ω ∈ Sd−1 o . (Here, as usual, Sd−1 stands for the Eucledean unit sphere in Rd .) Furthermore, given a smooth curve Γ… (More)

- András Kroó, Allan Pinkus
- 2010

This is a survey paper on the subject of strong uniqueness in approximation theory. MSC: 41A52, 41A50, 41A65

- András Kroó
- Journal of Approximation Theory
- 2008

- András Kroó
- Journal of Approximation Theory
- 2009

- András Kroó, József Szabados
- Journal of Approximation Theory
- 2008

- A Kroó, D S Lubinsky
- 2012

We establish asymptotics for Christoffel functions, and universality limits, associated with multivariate orthogonal polynomials, on the boundary of the unit ball in Rd. Orthogonal Polynomials, Universality Limits, Christoffel functions. 42C05, 42C99, 42B05, 60B20

- András Kroó
- Journal of Approximation Theory
- 2001