On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels

• Date: 1993
• Main Authors: Urumbaev, A. N., Урумбаев, А. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5978
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We give a direct method, optimal in $L_2$, for solving the Fredholm integral equation of the second kind with operators acting into the space of functions harmonic in a disk or into the space of functions that can be analytically extended to an infinite strip. The exact order of the error of this me...