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Rate of convergence of a group of deviations on sets of\(\bar \psi - {\rm{INTEGRALS}}\)

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Abstract

We study functionals that characterize the strong summation of Fourier series on sets of\(\bar \psi - {\rm{INTEGRALS}}\) in the uniform and integral metrics. As a result, we obtain estimates exact in order for the best approximations of functions from these sets by trigonometric polynomials.

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References

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Authors and Affiliations

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

    A. I. Stepanets

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  1. A. I. Stepanets
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 12, pp. 1673–1693, December, 1999.

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Stepanets, A.I. Rate of convergence of a group of deviations on sets of\(\bar \psi - {\rm{INTEGRALS}}\) . Ukr Math J 51, 1892–1916 (1999). https://doi.org/10.1007/BF02525132

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  • DOI: https://doi.org/10.1007/BF02525132

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