A Note on Generalized Tauberian Theorems
A Note on Generalized Tauberian Theorems
Introduction.Suppose that A(u) is a function of bounded variation in every finite interval of w^O, A(G) =0,' and that the 4>-transform of A(u), namely, $0) = f 4>(ut)d{A(u)}, Jo is convergent for t>0, the function <b(u) satisfying the following conditions.C(i) For m^O, <p(u) is positive, continuous, and monotonie decreasing;(ii) </>(0) …