Approximation by p-Faber-Laurent Rational Functions in the Weighted Lebesgue Spaces

Let L C be a regular Jordan curve. In this work, the approximation properties of the p-Faber-Laurent rational series expansions in the weighted Lebesgue spaces L^p(L, ) are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a kth integral modulus of continuity in L^p(L, ) spaces is estimated.