Skip to main content
SpringerLink
Log in

Some elementary integrability theorems for special transforms

  • Published:
Journal d’Analyse Mathématique Aims and scope

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. R. Askey,L p Behavior of Power Series with Positive Coefficients,Proc. Amer. Math. Soc.,19 (1968) 303–305.

    Article  MATH  MathSciNet  Google Scholar 

  2. R. Askey and R. P. Boas, Jr., Some Integrability Theorems for Power Series with Positive Coefficients, Mathematics Research Center Tech. Rep. 850 (1968).

  3. G. H. Hardy and J. E. Littlewood, Elementary Theorems Concerning Power Series with Positive Coefficients and Moment Constants of Positive Functions,Jour. für Mathematik,157 (1927) 141–158.

    Google Scholar 

  4. G. H. Hardy, The Constants of Certain Inequalities,Jour. London Math. Soc.,8 (1933), 114–119.

    Article  MATH  Google Scholar 

  5. G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge, 1952.

  6. P. Heywood, Integrability theorems of Tauberian Character,Proc. London Math. Soc.,15 (1965) 471–494.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, Madison, Wisconsin, U.S.A.

    Richard Askey

  2. Department of Mathematics, Stanford University, Stanford, California, U.S.A.

    Samuel Karlin

Authors
  1. Richard Askey
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Samuel Karlin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported in part at the Mathematics Research Center, University of Wisconsin, in part by N.S.F. grant GP-6764, and in part at Stanford University, Stanford, California, under contract N0014-67-A-0112-0015.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Askey, R., Karlin, S. Some elementary integrability theorems for special transforms. J. Anal. Math. 23, 27–38 (1970). https://doi.org/10.1007/BF02795486

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02795486

Keywords

Search

Navigation