| Abstrakt: |
The precise values of several n-widths of the classes Wmp,R(Ps), 1 [?] p < [?], m [?] , R [?] 1, in the Banach spaces p,g and Bp,g are calculated, where g is a weight. These are classes of analytic functions f in a disc of radius R whose mth derivatives f(m) belong to the Hardy space Hp,R and whose angular boundary values have averaged moduli of smoothness of second order which are majorized by the fixed function Ps on the point set {p/(2k)}k[?]. For the classes Wmp,R(Ps) best linear methods of approximation in p,g are developed. Extremal problems of related content are also considered. Bibliography: 37 titles. |
