Skip to main content
Log in

On quadrature formulas with equal coefficients

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

For the Lipschitz classes, we obtain weight quadrature formulas asymptotically optimal with respect to coefficients.

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.

Similar content being viewed by others

References

  1. G. K. Lebed', “On quadrature formulas with the least estimate of the remainder on some classes of functions,”Mat. Zametki,3, No. 5, 577–586 (1968).

    Google Scholar 

  2. V. P. Motomyi and E. E. Dunaichuk, “On approximate calculation of integrals of nonperiodic functions,” in:Investigation of Modern Problems of Summation and Approximation of Functions and Their Applications [in Russian], Dnepropetrovsk University, Dnepropetrovsk (1986), pp. 40–50.

    Google Scholar 

  3. V. P. Motornyi and E. E. Dunaichuk, “On formulas of approximate calculation of integrals,”Tr. Mat. Inst. Akad. Nauk SSSR,180, 161–163 (1987).

    Google Scholar 

  4. V. F. Babenko, “Asymptotically exact estimate of the remainder of best cubature formulas for some classes of functions,”Mat. Zametki,19, No. 3, 313–322 (1976).

    Google Scholar 

  5. V. P. Motornyi, “Studies of Dnepropetrovsk mathematicians on the optimization of quadrature formulas,”Ukr. Mat. Zh.,42, No. 1, 18–33 (1990).

    Google Scholar 

  6. P. L. Ul'yanov, “Imbedding of some classes of functions H wp ,”Izv. Akad. Nauk SSSR, Ser. Mat,3, 649–689 (1968).

    Google Scholar 

  7. V. P. Motornyi, “Approximation of functions by algebraic polynomials in the metric ofL p ,”Izv. Akad. Nauk SSSR, Ser. Mat.,35, No. 4, 874–899 (1971).

    Google Scholar 

  8. G. M. Fikhtengol'ts,A Course of Differential and Integral Calculus [in Russian], Vol. 2, Fizmatgiz, Moscow-Leningrad (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 9, pp. 1217–1223, September, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Motornyi, V.P. On quadrature formulas with equal coefficients. Ukr Math J 47, 1387–1393 (1995). https://doi.org/10.1007/BF01057513

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057513

Keywords

Navigation