Estimates for the widths of discrete function classes generated by a two-weight summation operator


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Abstract

Order estimates are obtained for the Kolmogorov, linear, and Gel’fand widths of the image of the unit ball of the space lp 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.

About the authors

A. A. Vasil’eva

Steklov Mathematical Institute of Russian Academy of Sciences

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Email: vasilyeva_nastya@inbox.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991

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