Abstract

In this paper, order estimates for the linear widths of some function classes are obtained; these classes are defined by restrictions on the weighted \(L_{p_1}\)-norm of the \(r\)th derivative and the weighted \(L_{p_0}\)-norm of zero derivatives.

中文翻译：

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具有最高阶和零导数的条件的加权Sobolev类的线性宽度

摘要

在本文中，获得了一些函数类别的线性宽度的阶数估计。这些类是通过对第\（r \）个导数的加权\（L_ {p_1} \）-范数和零个导数的加权\（L_ {p_0} \）-范数的限制来定义的。