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20122021
most citedWidths of weighted Sobolev classes with weights that are functions of distance to some h-set: some limiting cases

6 citations · 10 across the 6 of their papers we have counts for

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math.FA2021

Kolmogorov widths of a finite-dimensional balls intersection

A. A. Vasil'eva

Order estimates for the Kolmogorov widths of a finite-dimensional balls intersection are obtained.

math.FA20201 cited

Kolmogorov widths of the intersection of two finite-dimensional balls

A. A. Vasil'eva

In this paper we obtain order estimates for the Kolmogorov widths of the set in ; here , , .

math.FA2020

Linear widths of weighted Sobolev classes with conditions on the highest order and zero derivatives

A. A. Vasil'eva

In this paper order estimates for the linear widths of some function classes are obtained; these classes are defined by restrictions on the weighted -norm of the r-th deri…

math.FA2015

Estimates for entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases

A. A. Vasil'eva

In this paper we obtain order estimates for entropy numbers of embeddings of weighted Sobolev spaces into weighted Lebesgue spaces and of weighted summation operators on trees. Her…

math.FA20153 cited

Entropy numbers of embedding operators of weighted Sobolev spaces with weights that are functions of distance from some h-set

A. A. Vasil'eva

In this paper order estimates for entropy numbers of embeddings of weighted Sobolev spaces on a John domain are obtained. In addition, we obtain order estimates for entropy numbers…

math.FA20156 cited

Widths of weighted Sobolev classes with weights that are functions of distance to some h-set: some limiting cases

A. A. Vasil'eva

Here we obtain order estimates for widths of weighted Sobolev classes in the weighted Lebesgue space where parameters of the second weight satisfy some limiting conditions.