Skip to main content
SpringerLink
Log in

The Levy radius of a set of probability measures satisfying basic moment conditions involving {t, t 2}

  • Published:
Constructive Approximation Aims and scope

Abstract

TheLevy radius for a set of probability measures satisfying certain standard moment conditions is introduced, through the Levy distance of these measures from the unit measure at a fixed point of the real line. Using a moment optimal result of Selberg, an algebraic algorithm is given for the exact calculation of this radius.

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

Similar content being viewed by others

References

  1. T. M. Apostol (1969): Mathematical Analysis. London: Addison-Wesley.

    Google Scholar 

  2. Y. S. Chow, H. Teicher (1978): Probability Theory. New York: Springer-Verlag.

    Google Scholar 

  3. J. H. B. Kemperman (1968):The general moment problem, a geometric approach. Arm. Math. Statist.39:93–122.

    Google Scholar 

  4. P. P. Korovkin (1960): Linear Operators and Approximation Theory. Delhi: Hindustan.

    Google Scholar 

  5. H. L. Selberg (1940).Zwei Ungleichungen zur Ergänzung des Tchebycheffschen Lemmas. Skand. AktuarietidsKrift,23:121–125.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Memphis State University, 38152, Memphis, Tennessee, USA

    George A. Anastassiou

Authors
  1. George A. Anastassiou
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Allan Pinkus.

Dedicated to the Memory of my Father, Angelos

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anastassiou, G.A. The Levy radius of a set of probability measures satisfying basic moment conditions involving {t, t 2}. Constr. Approx 3, 257–263 (1987). https://doi.org/10.1007/BF01890569

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01890569

Key words and phrases

AMS classification

Search

Navigation