Open Access

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

Journal of Inequalities and Applications20082008:451815

DOI: 10.1155/2008/451815

Received: 10 December 2007

Accepted: 16 June 2008

Published: 3 July 2008

Abstract

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

(1)
School of Mathematical Sciences, Beijing Normal University
(2)
Department of Mathematics, Taizhou University

Copyright

© Feng Guo. 2008

This article is published under license to BioMed Central Ltd. 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.