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Approximation characteristics of the classes B Ω p,θ of periodic functions of many variables

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Abstract

We obtain exact order estimates for the approximation of the classes B Ω p,θ of periodic functions of many variables in the space L q by using operators of orthogonal projection and linear operators satisfying certain conditions.

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Authors and Affiliations

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

    S. A. Stasyuk & O. V. Fedunyk

Authors
  1. S. A. Stasyuk
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  2. O. V. Fedunyk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 5, pp. 692–704, May, 2006.

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Stasyuk, S.A., Fedunyk, O.V. Approximation characteristics of the classes B Ω p,θ of periodic functions of many variables. Ukr Math J 58, 779–793 (2006). https://doi.org/10.1007/s11253-006-0101-x

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  • DOI: https://doi.org/10.1007/s11253-006-0101-x

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