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  1. No Access

    Article

    Marcinkiewicz–Zygmund type results in multivariate domains

    We investigate Marcinkiewicz–Zygmund type inequalities for multivariate polynomials on various compact domains in \({\mathbb{R}^d}\) ...

    S. De Marchi, A. Kroó in Acta Mathematica Hungarica (2018)

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    Article

    Multivariate fast decreasing polynomials

    Fast decreasing polynomials \({p_n}\) p ...

    A. Kroó in Acta Mathematica Hungarica (2016)

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    Article

    Multivariate “needle” polynomials with application to norming sets and cubature formulas

    Needle polynomials \({0 \le p_{n} \le 1}\) 0 ...

    A. Kroó in Acta Mathematica Hungarica (2015)

  4. No Access

    Article

    On Multivariate Incomplete Polynomials on Starlike Domains

    Multivariate incomplete polynomials are considered on compact 0-symmetric starlike domains. Problems of density and quantitative approximation properties of such polynomials are investigated. It is shown that den...

    A. Kroó, J. Szabados in Constructive Approximation (2014)

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    Article

    Christoffel functions and universality on the boundary of the ball

    We establish asymptotics for Christoffel functions, and universality limits, associated with multivariate orthogonal polynomials, on the boundary of the unit ball in ℝ d .

    A. Kroó, D. S. Lubinsky in Acta Mathematica Hungarica (2013)

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    L 1-Approximation and Finding Solutions with Small Support

    In this paper, we study an interesting property of L 1-approximation. For many subspaces M, there exist α ∗(M)>0 with the following property: if f vanishes off a set of measure at ...

    Y. Benyamini, A. Kroó, A. Pinkus in Constructive Approximation (2012)

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    Article

    On the exact Markov inequality for k-monotone polynomials in uniform and L 1-norms

    We consider the classical extremal problem of estimating norms of higher order derivatives of algebraic polynomials when their norms are given. The corresponding extremal problem for general polynomials in uni...

    A. Kroó, J. Szabados in Acta Mathematica Hungarica (2009)

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    Article

    Markov—Bernstein Type Inequalities on Compact Subsets of R

    In this paper we give Markov Bernstein type inequalities for derivative of polynomials on some subsets of R. We define two different kinds of functions measuring the density of the sets considered, and in most ca...

    T. Erdélyi, A. Kroó, J. Szabados in Analysis Mathematica (2000)

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    Article

    On Approximation by Ridge Functions

    Ridge functions are defined as functions of the form \(f(\mbox{\footnotesize\bf a}\cdot \mbox{\footnotesize\bf x})\) ...

    A. Kroó in Constructive Approximation (1997)

  10. No Access

    Article

    On density of interpolation points, a Kadec-type theorem, and Saff's principle of contamination inL p-approximation

    Letf ∈L p (I) and denote byB n,p (f) the polynomial of bestL p-approximation tof of degreen (1<p<∞,I=[−1,1], the norm is weightedL p-norm with an arbitrary positive weight). Ex...

    A. Kroó, J. J. Swetits in Constructive Approximation (1992)

  11. No Access

    Article

    Some properties of A-spaces and their relationship toL 1-approximation

    Two new characterizations of A-spaces on an interval are obtained establishing a connection between the A-property and the Hobby-Rice theorem. A complete characterization of tensor product A-spaces on a rectan...

    A. Kroó, D. Schmidt, M. Sommer in Constructive Approximation (1991)

  12. No Access

    Article

    A Haar-type theory of best uniform approximation with constraints

    A. Kroó, D. Schmidt in Acta Mathematica Hungarica (1991)

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    Book reviews

    L. Pyber, A. Kroó, L. Lempert, M. Kovács in Periodica Mathematica Hungarica (1989)

  14. No Access

    Article

    Some theorems on bestL 1-approximation of continuous functions

    A. Kroó in Acta Mathematica Hungarica (1984)

  15. No Access

    Article

    On the unicity of bestL 1-approximation by polynomials of several variables

    A. Kroó in Acta Mathematica Hungarica (1983)

  16. No Access

    Article

    Some theorems on unicity of multivariateL 1-approximation

    A. Kroó in Acta Mathematica Academiae Scientiarum Hungarica (1982)

  17. No Access

    Article

    BestL 1-approximation of vector valued functions

    A. Kroó in Acta Mathematica Academiae Scientiarum Hungarica (1982)

  18. No Access

    Article

    On the distribution of points of maximal deviation in complex Čebyšev approximation

    Пустьf — функция, регу лярная внутри единич ного круга и непрерывная на всем круге. Обозначим черезp n (f) ал гебраический полино м порядкап наилучшего равномерного прибли жения

    A. Kroó in Analysis Mathematica (1981)

  19. No Access

    Article

    Deviation of best discrete and uniform polynomial approximants

    ПустьC 2π — пространств о 2π-периодических вещественных непрер ывных функций, W{rLip α={f∈C 2π r : ω(f (r), δ)≦δα}, Y⊂[−π,π] — н...

    A. Kroó in Analysis Mathematica (1981)

  20. No Access

    Article

    The Lipschitz constant of the operator of best approximation

    A. Kroó in Acta Mathematica Academiae Scientiarum Hungarica (1980)

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