Orders of the orthoprojection widths of classes of periodic functions of one and of several variables

w h e r e (ik) ~_(ikl) . . . . . (ikn) ~, ( i k j ) i=e J ~ (~ = 1 . . . . , n ) . W i t h e a c h v e c t o r s ~ Nn we a s 0 n s --1 s. ~ s o c i a t e t h e s u b s e t F ~ = { k ~ Z ]2 J ~ I k i t ~ 2 1 , ] = 1 , . ,n} . Then x(t)~---N nf~x(t) , w h e r e 5~x(t)--~ ~. x ei F o r a e R n and 1 < p < ~ we i n t r o d u c e t h e c l a s s e s o f f u n c t i o n s Wp ~ s k 9 ~Ct Nm id0~i {X(')lllX(=)iip