AbstractAs is well known the Tchebycheff polynomial of degree n minimizes the sup norm over all monic polynomials with n simple zeros in [−1,+1). B. D. Bojanov [J. Approx. Theory, 26 (1979), 293–300] recently investigated the situation for polynomials with a full set of zeros of higher multiplicities. In this paper we generalize these results to extended complete Tchebycheff systems
In this paper we study the approximation power, the existence of a normalized B-basis and the struct...
AbstractA bivariable polynomial of total degree n that has minimal uniform norm on a disk is explici...
AbstractThe inequality Tn(xy) ⩽ Tn(x) Tn(y), x, y ⩾ 1, where Tn(x) is the Tchebycheff polynomial of ...
AbstractAs is well known the Tchebycheff polynomial of degree n minimizes the sup norm over all moni...
AbstractWe consider the problem of finding optimal generalized polynomials of minimal Lp norm (1 ⩽ p...
AbstractA (k + 1)-dimensional vector space U of real-valued functions defined on a subset of the rea...
We make a number of comments on Chebyshev polynomials for general compact subsets of the complex pla...
We determine which sets saturate the Szegő and Schiefermayr lower bounds on the norms of Chebyshev P...
We determine which sets saturate the Szegő and Schiefermayr lower bounds on the norms of Chebyshev P...
We study some systems of polynomials whose support lies in the convex hull of a circuit, giving a sh...
AbstractExtremal problems of Markov type are studied, concerning maximization of a local extremum of...
AbstractUsing works of Franz Peherstorfer, we examine how close the nth Chebyshev number for a set E...
AbstractIn this paper several remarkable inequalities for the product with minimax series are consid...
The integer Chebyshev problem deals with finding polynomials of degree at most n with integer coeffi...
Abstract. We are concerned with the problem of minimizing the supremum norm on [0, 1] of a nonzero p...
In this paper we study the approximation power, the existence of a normalized B-basis and the struct...
AbstractA bivariable polynomial of total degree n that has minimal uniform norm on a disk is explici...
AbstractThe inequality Tn(xy) ⩽ Tn(x) Tn(y), x, y ⩾ 1, where Tn(x) is the Tchebycheff polynomial of ...
AbstractAs is well known the Tchebycheff polynomial of degree n minimizes the sup norm over all moni...
AbstractWe consider the problem of finding optimal generalized polynomials of minimal Lp norm (1 ⩽ p...
AbstractA (k + 1)-dimensional vector space U of real-valued functions defined on a subset of the rea...
We make a number of comments on Chebyshev polynomials for general compact subsets of the complex pla...
We determine which sets saturate the Szegő and Schiefermayr lower bounds on the norms of Chebyshev P...
We determine which sets saturate the Szegő and Schiefermayr lower bounds on the norms of Chebyshev P...
We study some systems of polynomials whose support lies in the convex hull of a circuit, giving a sh...
AbstractExtremal problems of Markov type are studied, concerning maximization of a local extremum of...
AbstractUsing works of Franz Peherstorfer, we examine how close the nth Chebyshev number for a set E...
AbstractIn this paper several remarkable inequalities for the product with minimax series are consid...
The integer Chebyshev problem deals with finding polynomials of degree at most n with integer coeffi...
Abstract. We are concerned with the problem of minimizing the supremum norm on [0, 1] of a nonzero p...
In this paper we study the approximation power, the existence of a normalized B-basis and the struct...
AbstractA bivariable polynomial of total degree n that has minimal uniform norm on a disk is explici...
AbstractThe inequality Tn(xy) ⩽ Tn(x) Tn(y), x, y ⩾ 1, where Tn(x) is the Tchebycheff polynomial of ...
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