Bernstein Widths of Some Classes of Functions Defined by a Self-Adjoint Operator

We consider the classes of periodic functions with formal self-adjoint linear differential operators Wp(ℒr), which include the classical Sobolev class as its special case. Using the iterative method of Buslaev, with the help of the spectrum of linear differential equations, we determine the exact va...

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Bibliographic Details
Main Author: Guo Feng
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/495054