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2012 Bernstein Widths of Some Classes of Functions Defined by a Self-Adjoint Operator
Guo Feng
J. Appl. Math. 2012: 1-9 (2012). DOI: 10.1155/2012/495054

Abstract

We consider the classes of periodic functions with formal self-adjoint linear differential operators W p ( r ) , 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 values of Bernstein width of the classes W p ( r ) in the space L q for 1 < p q < .

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Guo Feng. "Bernstein Widths of Some Classes of Functions Defined by a Self-Adjoint Operator." J. Appl. Math. 2012 1 - 9, 2012. https://doi.org/10.1155/2012/495054

Information

Published: 2012
First available in Project Euclid: 15 March 2012

zbMATH: 1230.41003
MathSciNet: MR2844126
Digital Object Identifier: 10.1155/2012/495054

Rights: Copyright © 2012 Hindawi

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