Skip to main content
Log in

Existence Theorems for Generalized Moment Representations

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We establish conditions for the existence of generalized moment representations introduced by Dzyadyk in 1981.

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. V. K. Dzyadyk, “On a generalization of the moment problem,” Dokl. Akad. Nauk Ukr. SSR, No. 6, 8–12 (1981).

    Google Scholar 

  2. V. K. Dzyadyk and A. P. Golub, Generalized Moment Problem and Padé Approximation [in Russian], Preprint No. 58, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev(1981).

    Google Scholar 

  3. A. P. Golub, Generalized Moment Representations and Rational Approximations [in Russian], Preprint No. 25, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1987).

    Google Scholar 

  4. N. I. Akhiezer, Classical Moment Problem and Some Related Problems of Analysis [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  5. V. K. Dzyadyk, Approximation Methods for the Solution of Differential and Integral Equations [in Russian], Naukova Dumka, Kiev (1988).

    Google Scholar 

  6. M. Abramowitz and I. A. Stegun (editors), Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, National Bureau of Standards, Appl. Math., Ser. 55 (1964).

    Google Scholar 

  7. F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  8. G. A. Baker, Jr., and P. Graves-Morris, Padé Approximants, Addison-Wesley, London (1981).

    Google Scholar 

  9. D. Z. Arov, “Passive linear stationary dynamical systems,” Sib. Mat. Zh., 20, No. 2, 211–228 (1979).

    Google Scholar 

  10. A. P. Golub, “On joint Padé approximations of a collection of degenerate hypergeometric functions,” Ukr. Mat. Zh., 39, No. 6, 701–706 (1987).

    Google Scholar 

  11. A. I. Markushevich, Theory of Analytic Functions [in Russian], Vol. 2, Nauka, Moscow (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Golub, A.P. Existence Theorems for Generalized Moment Representations. Ukrainian Mathematical Journal 55, 1061–1070 (2003). https://doi.org/10.1023/B:UKMA.0000010605.91548.77

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:UKMA.0000010605.91548.77

Keywords

Navigation