Preface 1. Best approximation and duality in extremal problems 2. Polynomials and spline-functions as approximating tools 3. Comparison theorems and inequalities for the norms of functions and their… Expand

This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform… Expand

Abstract A METHOD of solving operator equations of the 1st kind, dual to A.N. Tikhonov's method, is considered. It enables us to select the parameter a on which the approximate solution depends, in… Expand

ConclusionWe make some remarks in connection with the results of Secs. 6–10.1.We have used expansions into orthogonal series. In the general case it is natural to use spectral expansions of linear… Expand