%0 Journal Article %T Rational Approximation on Closed Curves %J Applied Mathematics %@ 2163-1425 %D 2012 %I %R 10.5923/j.am.20120203.07 %X In this paper, we study a problem of approximation for the classes of functions determined only on the boundary of domain in weighted integral spaces by means of the rational functions of the form (1) where is a point lying strictly inside the considered curve. Notice that the approximation estimations, generally speaking, coincide with the estimations of polynomial approximation for classes (Smirnov's class). %K Rational Approximation %K Conformal Map %K Smoothness Modulus %U http://article.sapub.org/10.5923.j.am.20120203.07.html