Approximation of Sobolev Classes by Their Sections of Finite Dimension

  • V. N. Konovalov

Abstract

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.
Published
25.05.2002
How to Cite
KonovalovV. N. “Approximation of Sobolev Classes by Their Sections of Finite Dimension”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 5, May 2002, pp. 647-55, https://umj.imath.kiev.ua/index.php/umj/article/view/4103.
Section
Research articles