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  • Research Article
  • Open Access

Exact Values of Bernstein -Widths for Some Classes of Periodic Functions with Formal Self-Adjoint Linear Differential Operators

Journal of Inequalities and Applications20082008:894529

  • Received: 10 December 2007
  • Accepted: 18 June 2008
  • Published:


We consider the classes of periodic functions with formal self-adjoint linear differential operators , which include the classical Sobolev class as its special case. With the help of the spectral of linear differential equations, we find the exact values of Bernstein -width of the classes in the for .


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Authors’ Affiliations

Department of Mathematics, Taizhou University, Zhejiang, Taizhou, 317000, China