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Estimates for bilinear approximations of the classes \( S_{{p,\theta}}^{\varOmega }B \) of periodic functions of two variables

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We obtain exact-order estimates for the best bilinear approximations of the classes \( S_{{p,\theta}}^{\varOmega }B \) of periodic functions of two variables in the space L q for some relations between the parameters p, q, and θ.

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Authors and Affiliations

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

    K. V. Solich

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  1. K. V. Solich
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 8, pp. 1106–1120, August, 2012.

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Solich, K.V. Estimates for bilinear approximations of the classes \( S_{{p,\theta}}^{\varOmega }B \) of periodic functions of two variables. Ukr Math J 64, 1260–1276 (2013). https://doi.org/10.1007/s11253-013-0714-9

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  • DOI: https://doi.org/10.1007/s11253-013-0714-9

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