KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH "SMALL" SINGULARITY SETS

被引：1

作者：

Vasil'eva, A. A. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Mech & Math, GSP 1,1 Leninskiye Gory,Main Bldg, Moscow 119991, Russia

来源：

EURASIAN MATHEMATICAL JOURNAL | 2019年 / 10卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Kolmogorov widths; weighted Sobolev classes; APPROXIMATION NUMBERS; ENTROPY; EMBEDDINGS;

D O I：

10.32523/2077-9879-2019-10-1-89-92

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sharp order estimates are stated for the Kolmogorov widths of weighted Sobolev classes on h-sets foe sertain limiting cases of the parameters

引用

页码：89 / 92

页数：4

共 32 条

[1] ORDER ESTIMATES FOR THE KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH RESTRICTIONS ON DERIVATIVES
Vasil'eva, A. A.
EURASIAN MATHEMATICAL JOURNAL, 2020, 11 (04): : 95 - 100
[2] Kolmogorov widths of weighted Sobolev classes on a cube
Vasil'eva, A. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2010, 16 (04): : 100 - 116
[3] Widths of weighted Sobolev classes on a John domain: strong singularity at a point
Vasil'eva, A. A.
REVISTA MATEMATICA COMPLUTENSE, 2014, 27 (01): : 167 - 212
[4] KOLMOGOROV WIDTHS AND APPROXIMATION NUMBERS OF SOBOLEV CLASSES WITH SINGULAR WEIGHTS
Vasile'va, A. A.
ST PETERSBURG MATHEMATICAL JOURNAL, 2013, 24 (01) : 1 - 27
[5] Kolmogorov and linear widths of the weighted Besov classes with singularity at the origin
Vasil'eva, A. A.
JOURNAL OF APPROXIMATION THEORY, 2013, 167 : 1 - 41
[6] Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights
Vasil'eva, A. A.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2011, 18 (03) : 353 - 385
[7] Estimates for the widths of weighted Sobolev classes
Vasil'eva, A. A.
SBORNIK MATHEMATICS, 2010, 201 (07) : 947 - 984
[8] Kolmogorov Widths of Weighted Sobolev Classes on a Domain for a Special Class of Weights. II
Vasil'eva, A. A.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2011, 18 (04) : 465 - 504
[9] Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order r and zero
Vasil'eva, A. A.
JOURNAL OF APPROXIMATION THEORY, 2021, 269
[10] Kolmogorov widths of intersections of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives
Vasil'eva, A. A.
IZVESTIYA MATHEMATICS, 2021, 85 (01) : 1 - 23

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