Skip to main content
Log in

An Optimal Estimate for Extrapolation from a Finite Set in the Wiener Class

  • 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

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Maergoiz L. S., Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics [in Russian], Nauka, Novosibirsk (1991).

    Google Scholar 

  2. Khurgin Ya. I. and Yakovlev V. P., Finite Functions in Physics and Technology [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  3. Micchelli C. A. and Rivlin T. J., “Lectures on optimal recovery,” Lecture Notes in Math., 1129, 21–93 (1985).

    Google Scholar 

  4. Arestov V. V., “Optimal recovery of operators, and related problems,” Trudy Mat. Inst. Steklov., 189, 3–20 (1989).

    Google Scholar 

  5. Fedotov A. M., “Analytic continuation of functions from discrete sets,” J. Inverse Ill-Posed Probl., 2, No. 3, 235–252 (1994).

    Google Scholar 

  6. Fedotov A. M., “A numerical algorithm for extrapolating functions of Wiener class,” Dokl. Akad. Nauk SSSR, 314, No. 2, 306–309 (1990).

    Google Scholar 

  7. Fedotov A. M. and Settarov J. A., “Optimal algorithms in Hilbert spase for the continuation of entire functions,” in: Scientific Siberian / Numerical and Data Analysis. Ser. A. Tassin, France, 1994, pp. 70–75 (AMSE Transaction, 1994, 11).

  8. Ibragimov I. I., “Some inequalities for entire functions of finite degree in several variables,” Dokl. Akad. Nauk SSSR, 128, No. 6, 1114–1117 (1959).

    Google Scholar 

  9. Ibragimov I. I., Extremal Properties of Entire Functions of Finite Degree [in Russian], Izdat. Akad. Nauk Azerb. SSR, Baku (1962).

  10. Maergoiz L. S., Extremal Properties of Entire Functions of Wiener Class and Some of Their Applications to the Choice of the Best Continuation [in Russian] [Preprint, No. 220B], Inst. Biophys. Sibirsk. Otdel. Ros. Akad. Nauk, Krasnoyarsk (1995).

  11. Maergoiz L. S., “Extremal properties of entire functions of Wiener class,” Dokl. Akad. Nauk, 356, No. 2, 161–165 (1997).

    Google Scholar 

  12. Akhiezer N. I., Lectures on Approximation Theory [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  13. Gantmakher F. R., The Theory of Matrices [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  14. Ronkin L. I., An Introduction to the Theory of Entire Functions of Several Variables [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  15. Aizenberg L. A., Carleman Formulas in Complex Analysis. First Applications [in Russian], Nauka, Novosibirsk (1990).

    Google Scholar 

  16. Bochner S., Lectures on Fourier Integrals [Russian translation], Fizmatgiz, Moscow (1962).

    Google Scholar 

  17. Zygmund A., Trigonometric Series [Russian translation], Mir, Moscow (1965).

    Google Scholar 

  18. Nikol'skii S. M., Approximation of Functions in Several Variables and Embedding Theorems [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  19. Akhiezer N. I. and Glazman I. M., The Theory of Linear Operators in Hilbert Space [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  20. Shevchuk I. A., Approximation by Polynomials and Traces of Continuous Functions on an Interval [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  21. Goncharov V. L., Theory of Interpolation and Approximation [in Russian], GITTL, Moscow (1954).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maergoiz, L.S. An Optimal Estimate for Extrapolation from a Finite Set in the Wiener Class. Siberian Mathematical Journal 41, 1126–1136 (2000). https://doi.org/10.1023/A:1004876305168

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004876305168

Keywords

Navigation