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Estimates for the approximate characteristics of the classes \( B_{p,\theta }^\Omega \) of periodic functions of two variables with given majorant of mixed moduli of continuity

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Ukrainian Mathematical Journal Aims and scope

Order estimates are obtained for the approximations of the classes \( B_{p,\theta }^\Omega \) of periodic functions of two variables in the space L q by operators of orthogonal projection and by linear operators satisfying certain conditions.

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Authors and Affiliations

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

    A. F. Konohrai

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  1. A. F. Konohrai
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 2, pp. 176–186, February, 2011.

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Konohrai, A.F. Estimates for the approximate characteristics of the classes \( B_{p,\theta }^\Omega \) of periodic functions of two variables with given majorant of mixed moduli of continuity. Ukr Math J 63, 209–221 (2011). https://doi.org/10.1007/s11253-011-0499-7

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  • DOI: https://doi.org/10.1007/s11253-011-0499-7

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