The relative \(n\)-widths of Sobolev classes with restrictions
For the Sobolev classes \(W^1_p[0,1]\), this paper deals with the relative \(n\)-width of the set \(B_p^1=\{f \in W^1_p: f(0)=0\}\). It is shown that, for various values of \(p,q\), \(d_n(B^1_p,B^1_p)_q\) is equal to \(\frac{\sup\{\|f\|_q [0,1]: f \in B^1_p\}}{2n}\).
scientific article; zbMATH DE number 5541720