Kolmogorov widths of intersections of weighted Sobolev classes on an interval with restrictions on the zeroth and first derivatives

Anastasia Andreevna Vasil'eva

doi:10.1070/im8969

Kolmogorov widths of intersections of weighted Sobolev classes on an interval with restrictions on the zeroth and first derivatives

Izvestiya Mathematics ◽

10.1070/im8969 ◽

2021 ◽

Vol 85 (1) ◽

Author(s):

Anastasia Andreevna Vasil'eva

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths

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Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order r and zero

Journal of Approximation Theory ◽

10.1016/j.jat.2021.105602 ◽

2021 ◽

pp. 105602

Author(s):

A.A. Vasil’eva

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths ◽

Derivatives Of ◽

Dimensional Domain

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Kolmogorov widths of weighted Sobolev classes on closed intervals

Mathematical Notes ◽

10.1134/s0001434608110047 ◽

2008 ◽

Vol 84 (5-6) ◽

pp. 631-635

Author(s):

A. A. Vasil’eva

Keyword(s):

Sobolev Classes ◽

Closed Intervals ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths

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KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH “SMALL” SINGULARITY SETS

Eurasian Mathematical Journal ◽

10.32523/2077-9879-2019-10-1-89-92 ◽

2019 ◽

Vol 10 (1) ◽

pp. 89-92

Author(s):

Anastasia Vasil’eva ◽

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths

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ORDER ESTIMATES FOR THE KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH RESTRICTIONS ON DERIVATIVES

Eurasian Mathematical Journal ◽

10.32523/2077-9879-2020-11-4-95-100 ◽

2020 ◽

Vol 11 (4) ◽

pp. 95-100

Author(s):

Anastasia Vasil’eva ◽

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths

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Kolmogorov Widths of Weighted Sobolev Classes on an Interval with Conditions on the Zeroth and First Derivatives

Mathematical Notes ◽

10.1134/s0001434620030165 ◽

2020 ◽

Vol 107 (3-4) ◽

pp. 522-524

Author(s):

A. A. Vasil’eva

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths

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Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights. II

Russian Journal of Mathematical Physics ◽

10.1134/s1061920811040078 ◽

2011 ◽

Vol 18 (4) ◽

pp. 465-504 ◽

Cited By ~ 3

Author(s):

A. A. Vasil’eva

Keyword(s):

Special Class ◽

Sobolev Classes ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths

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Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights

Russian Journal of Mathematical Physics ◽

10.1134/s1061920811030083 ◽

2011 ◽

Vol 18 (3) ◽

pp. 353-385

Author(s):

A. A. Vasil’eva

Keyword(s):

Special Class ◽

Sobolev Classes ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths

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Widths of weighted Sobolev classes whose weights are functions of the distance to an h-set

Doklady Mathematics ◽

10.1134/s106456241407014x ◽

2014 ◽

Vol 90 (3) ◽

pp. 685-687

Author(s):

A. A. Vasil’eva

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes

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Integral representations of functions which belong to weighted Sobolev classes in regions, with applications. I

Siberian Mathematical Journal ◽

10.1007/bf00969295 ◽

1976 ◽

Vol 17 (1) ◽

pp. 96-112

Author(s):

V. G. Perepelkin

Keyword(s):

Integral Representations ◽

Sobolev Classes ◽

Weighted Sobolev Classes

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Embedding theorem for weighted Sobolev classes on a John domain with weights that are functions of the distance to some h-set

Russian Journal of Mathematical Physics ◽

10.1134/s1061920813030102 ◽

2013 ◽

Vol 20 (3) ◽

pp. 360-373 ◽

Cited By ~ 10

Author(s):

A. A. Vasil’eva

Keyword(s):

Embedding Theorem ◽

John Domain ◽

Sobolev Classes ◽

Weighted Sobolev Classes

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