Geodesic
Estimates for the widths of discrete function classes generated by a~two-weight summation operator
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 308-324

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Order estimates are obtained for the Kolmogorov, linear, and Gel'fand widths of the image of the unit ball of the space $l_p$ under the action of a two-weight summation operator with weights of special kind. Some limit conditions on the parameters defining the weights are considered. 
@article{TM_2016_294_a19,
     author = {A. A. Vasil'eva},
     title = {Estimates for the widths of discrete function classes generated by a~two-weight summation operator},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {308--324},
     publisher = {mathdoc},
     volume = {294},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_294_a19/}
}
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A. A. Vasil'eva. Estimates for the widths of discrete function classes generated by a~two-weight summation operator. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 308-324. http://geodesic.mathdoc.fr/item/TM_2016_294_a19/