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 Trudy Mat. Inst. Steklova, 2016, Volume 294, Pages 308–324 (Mi tm3730)

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

A. A. Vasil'eva

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: 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.

 Funding Agency Grant Number Russian Science Foundation 14-50-00005 This work is supported by the Russian Science Foundation under grant 14-50-00005.

DOI: https://doi.org/10.1134/S0371968516030201

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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 294, 291–307

Bibliographic databases:

UDC: 517.518.224
Received: April 15, 2016

Citation: A. A. Vasil'eva, “Estimates for the widths of discrete function classes generated by a two-weight summation operator”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 308–324; Proc. Steklov Inst. Math., 294 (2016), 291–307

Citation in format AMSBIB
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• https://doi.org/10.1134/S0371968516030201
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This publication is cited in the following articles:
1. A. A. Kuleshov, “Continuous Sums of Ridge Functions on a Convex Body and the Class VMO”, Math. Notes, 102:6 (2017), 799–805
2. A. A. Vasil'eva, “Diameters of Sobolev weight classes with a “small” set of singularities for weights”, Russ. J. Math. Phys., 26:4 (2019), 517–543
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