Skip to main content
SpringerLink
Log in

Convergence of interpolational rational fractions

  • 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

Literature Cited

  1. V. I. Smirnov and N. A. Lebedev, Constructive Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow-Leningrad (1967).

    Google Scholar 

  2. J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain [Russian translation], IL, Moscow (1961).

    Google Scholar 

  3. I. I. Ibragimov, “Interpolation of functions with a finite number of singularities by means of rational functions,” Dokl. Akad. Nauk SSSR,181, No. 6, 1314–1316 (1968).

    Google Scholar 

  4. I. I. Ibragimov and M. V. Keldysh, “On the interpolation of entire functions,” Mat. Sb.,20, No. 2, 283–292 (1947).

    Google Scholar 

  5. V. L. Goncharov, “On the interpolation of functions with a finite number of singularities by means of rational functions,” Izv. Akad. Nauk SSSR, Ser. Mat., No. 2, 171–189 (1937).

    Google Scholar 

  6. A. G. Lipchinskii, “On the interpolation of analytic functions by rational fractions,” Tr. Tsentr. Zonal'n. Ob"edin. Mat. Kafedr., No. 2, Izd. Kalininsk. Gos. Ped. Inst., Kalinin (1971), pp. 85–94.

    Google Scholar 

  7. I. I. Ibragimov, Function Interpolation Methods and Some of Their Applications [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  8. B. S. Dvorkin, “On the expansion of an entire function of a complex variable into a convergent Newton series,” Mat. Sb.,12, No. 3, 377–380 (1943).

    Google Scholar 

  9. B. S. Dvorkin, “Newton's interpolation problem for an entire function with special interpolation nodes,” Tr. Stavropolsk. Gos. Ped. Inst., No. 10, 67–75 (1958).

    Google Scholar 

Download references

Authors
  1. A. G. Lipchinskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 19, No. 4, pp. 815–823, July–August, 1978.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lipchinskii, A.G. Convergence of interpolational rational fractions. Sib Math J 19, 576–582 (1978). https://doi.org/10.1007/BF00967729

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967729

Keywords

Search

Navigation