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


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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 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.

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A. Vasil’eva

Steklov Mathematical Institute of Russian Academy of Sciences

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