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

https://doi.org/10.1155/2008/894529

Received: 10 December 2007

Accepted: 18 June 2008

Published: 8 July 2008

Abstract

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

(1)
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.