Skip to main content
Log in

Best formulas of numerical integration for certain classes of differentiable functions

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. S. M. Nikol'skii, Quadrature Formulas [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  2. T. N. Busarova, “Error of quadrature formulas on classes of functions with monotonic r-th derivative,” in: Investigations of the Contemporary Problems of Summation and Approximation of Functions and Their Applications [in Russian], No. 6, Dnepropetrovsk State Univ., Dnepropetrovsk (1975), pp. 24–35.

    Google Scholar 

  3. M. I. Levin, “A properly of best formulas of numerical integration,” Izv. Akad. Nauk Est. SSR, Ser. Tekh. Fiz.-Mat.,20, No. 1, 90–91 (1971).

    Google Scholar 

  4. N. P. Korneichuk and N. E. Lushpai, “Best quadrature formulas for classes of differentiable functions and piecewise polynomial approximation,” Izv. Akad. Nauk SSSR, Ser. Mat.,33, No. 6, 1416–1437 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 30, No. 2, pp. 234–238, March–April, 1978.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lushpai, N.E., Busarova, T.N. Best formulas of numerical integration for certain classes of differentiable functions. Ukr Math J 30, 179–182 (1978). https://doi.org/10.1007/BF01085641

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085641

Keywords

Navigation