AbstractIn the family of all r-variable real polynomials with total degree not exceeding μ and with maximum norm on the unit-cube not exceeding 1, any of the leading coefficients is maximum for a special product of one-variable Chebyshev polynomials of the first kind. This is a consequence of an even more general result on polynomials of least deviation from zero on the unit cube
AbstractIn the real uniform approximation of the function xmyn by the space of bivariate polynomials...
AbstractWe are concerned with the problem of finding the polynomial with minimal uniform norm on E a...
AbstractThis article considers the extension of V.A. Markov's theorem for polynomial derivatives to ...
AbstractIn the family of all r-variable real polynomials with total degree not exceeding μ and with ...
AbstractIn this article, it is proved that the Chebyshev polynomials are also the least deviation fu...
We study Chebyshev's problem on polynomials that deviate least from zero with respect to \(L^p\)-mea...
The n-th Chebyshev polynomial of the first kind, Tn, maximizes various functionals on Bn, the unit b...
In [Pa1] the second author gave a solution of a problem posed by C.-C. Yang [Ya];us-ing a descriptio...
Abstract In this paper, we consider polynomials that deviate least from zero in the L1 metric. Then...
AbstractDenote by πnthe set of all real algebraic polynomials of degree at mostn. The classical ineq...
AbstractWeighted best L1-approximation of multivariate continuous real-valued functions by multivari...
AbstractIn the real uniform approximation of the function xmyn by the space of bivariate polynomials...
AbstractLet Πn+m−1d denote the set of polynomials in d variables of total degree less than or equal ...
AbstractOne-dependent random variables appear in several fields of statistical work, e.g. in time se...
AbstractIn this paper we study the extremal polynomials for the Markov inequality on a convex symmet...
AbstractIn the real uniform approximation of the function xmyn by the space of bivariate polynomials...
AbstractWe are concerned with the problem of finding the polynomial with minimal uniform norm on E a...
AbstractThis article considers the extension of V.A. Markov's theorem for polynomial derivatives to ...
AbstractIn the family of all r-variable real polynomials with total degree not exceeding μ and with ...
AbstractIn this article, it is proved that the Chebyshev polynomials are also the least deviation fu...
We study Chebyshev's problem on polynomials that deviate least from zero with respect to \(L^p\)-mea...
The n-th Chebyshev polynomial of the first kind, Tn, maximizes various functionals on Bn, the unit b...
In [Pa1] the second author gave a solution of a problem posed by C.-C. Yang [Ya];us-ing a descriptio...
Abstract In this paper, we consider polynomials that deviate least from zero in the L1 metric. Then...
AbstractDenote by πnthe set of all real algebraic polynomials of degree at mostn. The classical ineq...
AbstractWeighted best L1-approximation of multivariate continuous real-valued functions by multivari...
AbstractIn the real uniform approximation of the function xmyn by the space of bivariate polynomials...
AbstractLet Πn+m−1d denote the set of polynomials in d variables of total degree less than or equal ...
AbstractOne-dependent random variables appear in several fields of statistical work, e.g. in time se...
AbstractIn this paper we study the extremal polynomials for the Markov inequality on a convex symmet...
AbstractIn the real uniform approximation of the function xmyn by the space of bivariate polynomials...
AbstractWe are concerned with the problem of finding the polynomial with minimal uniform norm on E a...
AbstractThis article considers the extension of V.A. Markov's theorem for polynomial derivatives to ...
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