Approximation of Sobolev Classes by Their Sections of Finite Dimension
For Sobolev classes of periodic functions of one variable with restrictions on higher derivatives in L 2, we determine the exact orders of relative widths characterizing the best approximation of a fixed set by its sections of given dimension in the spaces L q.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 5, pp 795-805.
Citation Example: Konovalov V. N. Approximation of Sobolev Classes by Their Sections of Finite Dimension // Ukr. Mat. Zh. - 2002. - 54, № 5. - pp. 647-655.