Kolmogorov widths of~intersections of~weighted Sobolev classes on an~interval with conditions on the zeroth and first derivatives
Izvestiya. Mathematics , Tome 85 (2021) no. 1, pp. 1-23

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In the paper, we obtain order estimates for the Kolmogorov widths of the intersection of weighted Sobolev classes with conditions on the first and zeroth derivatives; the weights have power-law form.
Keywords: widths, intersections of function classes, weighted Sobolev classes.
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     author = {A. A. Vasil'eva},
     title = {Kolmogorov widths of~intersections of~weighted {Sobolev} classes on an~interval with conditions on the zeroth and first derivatives},
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A. A. Vasil'eva. Kolmogorov widths of~intersections of~weighted Sobolev classes on an~interval with conditions on the zeroth and first derivatives. Izvestiya. Mathematics , Tome 85 (2021) no. 1, pp. 1-23. http://geodesic.mathdoc.fr/item/IM2_2021_85_1_a0/