Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 451815, 11 pages
Exact Values of Bernstein -Widths for Some Classes of Convolution Functions
1School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
2Department of Mathematics, Taizhou University, Taizhou, Zhejiang 317000, China
Received 10 December 2007; Revised 7 April 2008; Accepted 16 June 2008
Academic Editor: Vijay Gupta
Copyright © 2008 Feng Guo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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 .