Uniform Convergence of Fourier Series on Compact Subsets

In this paper, the speed of approximation of ω ₙ(B;f,z) to zero has been calculated by using analytic and geometric properties of the boundary of the given region, where B is a subset of G (a finite simpy connected domain bounded by a Jordan curve) and ω ₙ=(z)-Sₙ(f,z) ,~z∈ B. 2000 Mathematics Subject Classification. 41A10, 30E10, 42A16