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  • Research Article
  • Open Access

Exact Values of Bernstein -Widths for Some Classes of Convolution Functions

Journal of Inequalities and Applications20082008:451815

  • Received: 10 December 2007
  • Accepted: 16 June 2008
  • Published:


We consider some classes of -periodic convolution functions , and , which include the classical Sobolev class as a special case. With the help of the spectra of nonlinear integral equations, we determine the exact values of Bernstein -width of the classes , in the space for .


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Authors’ Affiliations

School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
Department of Mathematics, Taizhou University, Taizhou, Zhejiang, 317000, China