Accuracy-optimal quadrature formulas for calculating the Bessel transforms for certain classes of sub-integral functions. (English. Ukrainian original) Zbl 1473.65024
Cybern. Syst. Anal. 57, No. 2, 238-251 (2021); translation from Kibern. Sist. Anal. 57, No. 2, 81-95 (2021).
Summary: 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.
MSC:
| 65D32 | Numerical quadrature and cubature formulas |
| 34B30 | Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) |
Keywords:
Bessel transformation; accuracy-optimal quadrature formula; interpolation classes of functions; hat method; boundary functions methodReferences:
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