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

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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Correspondence to Feng Guo.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Guo, F. Exact Values of Bernstein -Widths for Some Classes of Convolution Functions. J Inequal Appl 2008, 451815 (2008). https://doi.org/10.1155/2008/451815

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  • DOI: https://doi.org/10.1155/2008/451815

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