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

• Datum: 1998
• Hauptverfasser: Solodkii, S. G., Солодкий, С. Г.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: 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...