Abstract: In this paper we are mainly concerned with the approximation of the following type of singular Integrals:
S_w(f,x)=∫_a^b(w(t)f(t))/t-xdt where w(t) ≥ 0 is a weight function, f(x) a real continuous function on[a, b], satisfying certain smooth conditions, and the integral is of Cauchy principal value.