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Widths of the classes \( {B}_{p,\theta}^{\varOmega } \) of periodic functions of many variables in the space B1,1

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Abstract

We have obtained the exact-by-order estimates of Kolmogorov, linear, and trigonometric widths of the classes \( {B}_{p,\theta}^{\varOmega } \) of periodic functions of many variables in the space B1,1 the norm in which is stronger than the L1-norm.

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Authors and Affiliations

  1. Lesya Ukrainka East-European National University, Lutsk, Ukraine

    Mykhailo V. Hembars’kyi & Svitlana B. Hembars’ka

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  1. Mykhailo V. Hembars’kyi
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  2. Svitlana B. Hembars’ka
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Correspondence to Mykhailo V. Hembars’kyi.

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Translated from Ukrainian by V. V. Kukhtin

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 1, pp. 43–56 January–March, 2018.

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Hembars’kyi, M.V., Hembars’ka, S.B. Widths of the classes \( {B}_{p,\theta}^{\varOmega } \) of periodic functions of many variables in the space B1,1. J Math Sci 235, 35–45 (2018). https://doi.org/10.1007/s10958-018-4056-x

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