Bernstein widths of some classes of functions defined by a self-adjoint operator
type: Item
instance of: scholarly article
title: Bernstein widths of some classes of functions defined by a self-adjoint operator
zbMATH Open document ID: 1230.41003
DOI: 10.1155/2012/495054
author: Guo Feng
published in: Journal of Applied Mathematics
publication date: 2011-10-27T00:00:00Z
review text: Summary: We consider the classes of periodic functions with formal self-adjoint linear differential operators \(W_p(\mathcal L_r)\), which include the classical Sobolev class as its special case. Using the iterative method of Buslaev, we determine with the help of the spectrum of linear differential equations the exact values of Bernstein width of the classes \(W_p(\mathcal L_r)\) in the space \(L_q\) for \(1 < p \leq q < \infty\).
Mathematics Subject Classification ID: 41A46
zbMATH DE Number: 5964475
Wikidata QID: Q58905998
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/495054
OpenAlex ID: W2080184379
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description: scientific article; zbMATH DE number 5964475