On a rate of convergence of truncated hypersingular integrals associated to Riesz and Bessel potentials

The notion of a mu-smooth point of a L-p-function phi and a family of truncated hypersingular integrals depending on a parameter epsilon are introduced. Then the connection between the order of mu-smoothness of the function phi and the rate of convergence of the family of truncated hypersingular integrals to phi, when epsilon tends to 0, is obtained. (C) 2013 Elsevier Inc. All rights reserved.