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Trigonometric widths of classes of periodic functions of many variables

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Ukrainian Mathematical Journal Aims and scope

We obtain exact-order estimates for the trigonometric widths of the classes \( B_{{p,\theta}}^{\varOmega } \) of periodic functions of many variables in the space L q for some relationships between the parameters p and q.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    N. V. Derev’yanko

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  1. N. V. Derev’yanko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 8, pp. 1041–1052, August, 2012.

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Derev’yanko, N.V. Trigonometric widths of classes of periodic functions of many variables. Ukr Math J 64, 1185–1198 (2013). https://doi.org/10.1007/s11253-013-0709-6

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  • DOI: https://doi.org/10.1007/s11253-013-0709-6

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