Information complexity of projection algorithms for the solution of Fredholm equations of the first kind. I

• Дата: 1998
• Автори: Solodkii, S. G., Солодкий, С. Г.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1998
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4908
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We construct a new system of discretization of the Fredholm integral equations of the first kind with linear compact operators A and free terms from the set Range (A(A*A)V), v > 1/2. The approach proposed enables one to obtain the optimal order of error on such classes of equations by using a...