Error of Tikhonov's regularization for integral convolution equations

Dang Duc Trong, Truong Trung Tuyen

Let $\varphi$ be a nontrivial function of $L^1(\RR)$. For each $s\ge 0$ we put \begin{eqnarray*} p(s)=-\log \int_{|t|\geq s}|ϕ(t)|dt. \end{eqnarray*} If $\varphi$ satisfies \begin{equation} \…