Projected Tikhonov regularization method for Fredholm integral equations of the first kind

In this paper, we consider a variant of projected Tikhonov regularization method for solving Fredholm integral equations of the first kind. We give a theoretical analysis of this method in the Hilbert space $L^{2}(a,b)$ setting and establish some convergence rates under certain regularity assumption on the exact solution and the kernel $k(\cdot,\cdot)$ . Some numerical results are also presented.