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Extension of the Notion of Generalized Convolution and Estimate of the Best Approximation of Weighted Liouville Type Operators

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We study approximation of functions in weighted classes with the help of weighted Liouville type operators generated by the mixed Fourier–Bessel transform. Bibliography: 13 titles.

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References

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Authors and Affiliations

  1. Voronezh State University, 1, Universitetskaya pl., Voronezh, 394006, Russia

    L. N. Lyakhov

  2. Russian Presidential Academy of National Economy and Public Administration (Lipetsk Branch), 3, Internatsional’naya Str., Lipetsk, 398050, Russia

    A. A. Nikitina

Authors
  1. L. N. Lyakhov
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  2. A. A. Nikitina
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Correspondence to L. N. Lyakhov.

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Translated from Problemy Matematicheskogo Analiza 76, August 2014, pp. 81–93.

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Lyakhov, L.N., Nikitina, A.A. Extension of the Notion of Generalized Convolution and Estimate of the Best Approximation of Weighted Liouville Type Operators. J Math Sci 202, 200–214 (2014). https://doi.org/10.1007/s10958-014-2042-5

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  • DOI: https://doi.org/10.1007/s10958-014-2042-5

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