A measure of accuracy for quadrature methods for Fredholm equations of the first kind

This paper introduces a measure of accuracy for quadrature methods for Fredholm integral equations of the first kind. It is based on their accuracy for test problems whose exact solutions form a basis for a certain function space of interest. It may be used to identify methods that are accurate for equations whose solutions can be well approximated by a member of the function space, and to establish approximate error bounds for their solutions.