Widths and entropy numbers of the classes of periodic functions of one and several variables in the space B q ,1

被引：0

作者：

Pozharska, K. V. ^{[1
,2
]}

Romanyuk, A. S. ^{[1
]}

Romanyuk, V. S. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, 3 Tereschenkivska Str, UA-01024 Kyiv, Ukraine

[2] Tech Univ Chemnitz, 39 Reichenhainer Str, D-09126 Chemnitz, Germany

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2024年 / 16卷 / 02期

关键词：

Sobolev class; Nikol'skii-Besov class; entropy number; width; APPROXIMATION; DIAMETERS;

D O I：

10.15330/cmp.16.2.351-366

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Exact-order estimates are obtained for the entropy numbers and several types of widths (Kolmogorov, linear, trigonometric and orthowidth) for the Sobolev and Nikol'skii-Besov classes of one and several variables in the space B-q ,B-1 (,) 1<q <infinity. It is shown, that in the multivariate case, in contrast to the univariate, the obtained estimates differ in order from the corresponding estimates in the space L q .

引用

页码：351 / 366

页数：16

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