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Accuracy-Optimal Quadrature Formulas for Calculating the Bessel Transforms for Certain Classes of Sub-Integral Functions

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Cybernetics and Systems Analysis Aims and scope

Abstract

The paper considers the problem of constructing accuracy-optimal in classes of functions and close to them quadrature formulas for calculating the Bessel transform. For some classes of subintegral functions, optimal estimates of the error in calculating the Bessel transform are constructed, as well as the quadrature formulas on which these estimates are attained.

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References

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. K. Zadiraka & L. V. Luts

Authors
  1. V. K. Zadiraka
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  2. L. V. Luts
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Correspondence to V. K. Zadiraka.

Additional information

Translated from Kibernetyka ta Systemnyi Analiz, No. 2, March–April, 2021, pp. 81–95.

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Zadiraka, V.K., Luts, L.V. Accuracy-Optimal Quadrature Formulas for Calculating the Bessel Transforms for Certain Classes of Sub-Integral Functions. Cybern Syst Anal 57, 238–251 (2021). https://doi.org/10.1007/s10559-021-00349-7

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  • DOI: https://doi.org/10.1007/s10559-021-00349-7

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