Skip to main content
SpringerLink
Log in

On sequences of linear functionals and some operators of the classS 2m

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Labsker L. G., Test Sets in Banach Space [in Russian], MIPKKhM, Moscow (1989).

    Google Scholar 

  2. Korovkin P. P., “On convergence of positive linear operators in the space of continuous functions,” Dokl. Akad. Nauk SSSR,90, No. 6, 961–964 (1953).

    MATH  Google Scholar 

  3. Videnskiî V. S., Positive Linear Operators of Finite Rank [in Russian], Leningrad Ped. Inst., Leningrad (1985).

    Google Scholar 

  4. Klimov V. S., Krasnosel'skiî M. A., andLifshits E. A., “Smooth points of a cone and convergence of positive functionals and operators,” Trudy Moskovsk. Mat. Obshch.,15, 55–69 (1966).

    Google Scholar 

  5. Rubinov A. M., “On one theorem by V. S. Klimov, Krasnosel'skiî M. A., and Lifshits E. A.,” in: Optimization, Novosibirsk, 1971, No. 3, pp. 154–158.

  6. Kutateladze S. S. andRubinov A. M., Minkowski Duality and Its Applications [in Russian], Nauka, Novosibirsk (1976).

    Google Scholar 

  7. Abakumov Yu. G. and Banin V. G., “Sequences of linear functionals positive on some cones and analogs of Korovkin's theorems,” submitted to VINITI on 11.11.86, No. 7695.

  8. Abakumov Yu. G. andBanin V. G., “One approach to studying approximation properties of linear operators,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 11, 3–6 (1991).

    Google Scholar 

  9. Korovkin P. P., “Convergent sequences of linear operators,” Uspekhi Mat. Nauk,17, No. 4, 147–152 (1962).

    MATH  Google Scholar 

  10. Baskakov V. A., “On a method for constructing operators of the classS 2m ,” in: The Theory of Functions and Approximations. Lagrange Interpolation [in Russian], Saratov, 1984, pp. 19–25.

  11. Vassiliev R. K., “On an exact order of approximation of the differentiable functions by a sequence of operators of classS 2m ,” Suppl. ai Rend. del Circolo Matematico di Palermo2, No. 33, 490–507 (1993). (Proc. Second Intern. Conf. on Functional Analysis and Aproximation Theory, Acquafredda di Maratea (POTENZA), September 14–19, 1992.)

    Google Scholar 

Download references

Authors
  1. Yu. G. Abakumov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. A. Zabelina
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. O. N. Shestakova
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Chita. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 41, No. 2, pp. 247–252, March–April, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abakumov, Y.G., Zabelina, N.A. & Shestakova, O.N. On sequences of linear functionals and some operators of the classS 2m . Sib Math J 41, 199–203 (2000). https://doi.org/10.1007/BF02674588

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02674588

Keywords

Search

Navigation