Journal of Approximation Theory

Let E be a compact set of positive logarithmic capacity in the complex plane and let { P n ( z ) } 1 ∞ be a sequence of… Expand

We present results on interpolation and L"1-approximation of periodic functions by trigonometric polynomials and trigonometric… Expand

Bernstein polynomials are a useful tool for approximating functions. In this paper, we extend the applicability of this operator… Expand

We determine the exact asymptotic behaviour of entropy and approximation numbers of the limiting restriction operator J:B"p","q… Expand

 

In this paper we investigate the L"2-solutions of vector refinement equations with exponentially decaying masks and a general… Expand

The method developed in Duran and Grunbaum [Orthogonal matrix polynomials satisfying second order differential equations… Expand

This paper gives upper and lower bounds of the Christoffel-type functions @l"j"n(W^m,m;x),j=m-2,m-4,...,m-2[m/2], for the m… Expand

We prove that the weak dual greedy algorithm converges in any subspace of a quotient of Lp when 1 < p < ∞. 

This thesis attempts to quantify the amount of information needed to learn certain tasks. The tasks chosen vary from learning… Expand