Skip to main content
SpringerLink
Log in

Sequence spaces and summability factors

  • Published:
Mathematische Zeitschrift 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

References

  1. Bosanquet, L.S.: Note on convergence and summability factors. Proc. Lond. Math. Soc. (2)50, 482–496 (1949)

    Google Scholar 

  2. Bosanquet, L.S., Das, G.: Absolute summability factors for Norlund means. Proc. Lond. Math. Soc. (3)38, 1–52 (1979)

    Google Scholar 

  3. Buntinas, M.: On Toeplitz sections in sequence spaces. M. Proc. Camb. Phil. Soc.78, 451–460 (1975)

    Google Scholar 

  4. DeFranza, J., Fleming, D.J.: On the Bohr-Hardy criteria. Arch. Math. (to appear)

  5. Fleming, D.J.: Unconditional toeplitz sections in sequence spaces. Math. Z.194, 405–414 (1987)

    Google Scholar 

  6. Hardy, G.H.: Divergent series, Oxford (1949)

  7. Jurkat, W., Peyerimhoff, A.: Mittelwertsätze bei Matrix- und Integraltransformationen. Math. Z.55, 92–108 (1951)

    Google Scholar 

  8. Jurkat, W., Peyerimhoff, A.: Summierbarkeits-Faktoren. Math. Z.58, 186–208 (1953)

    Google Scholar 

  9. Kamthan, P.K., Gupta, M.: Sequence spaces and series. New York, Basel: Dekker 1981

    Google Scholar 

  10. Kuttner, B.: Some remarks on summability factors. Indian J. Pure Appl. Math.16 (9), 1017–1027 (1985)

    Google Scholar 

  11. Peterson, G.E.: Summability factors. Proc. Lond. Math. Soc. (3)19, 341–356 (1969)

    Google Scholar 

  12. Peyerimhoff, A.: Über Summierbarkeitsfaktoren und verwandte Fragen bei Cesàro-Verfahren. Acad. Serbi. Sci. Publ. Inst. Math.8, 139–156 (1955)

    Google Scholar 

  13. Ruckle, W.: An abstract concept of the sum of a numerical series. Can. J. Math.22, 863–874 (1970)

    Google Scholar 

  14. Ruckle, W.: Topologies on sequence spaces. Pac. J. Math.42, 234–249 (1972)

    Google Scholar 

  15. Ruckle, W.: A universal topology for sequence spaces. Math. Ann.236, 43–48 (1978)

    Google Scholar 

  16. Ruckle, W.: Sequence spaces. London: Pitman 1981

    Google Scholar 

  17. Snyder, A.K., Wilansky, A.: Inclusion Theorems and semi-conservative FK spaces, Rocky Mt. J. Math.2, 595–603 (1972)

    Google Scholar 

  18. Thorpe, B.: An inclusion theorem for Bohr-Hardy summability factors. Can. J. Math.23 (4), 653–658 (1971)

    Google Scholar 

  19. Wilansky, A.: Summability through functional analysis. Amsterdam: North Holland (1984)

    Google Scholar 

  20. Zeller, K.: Approximation in Wirkfeldern von Summierungsverfahren. Archiv De Math.4, 425–431 (1953)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, St. Lawrence University, 13617, Canton, NY, USA

    J. DeFranza & D. J. Fleming

Authors
  1. J. DeFranza
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. J. Fleming
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

DeFranza, J., Fleming, D.J. Sequence spaces and summability factors. Math Z 199, 99–108 (1988). https://doi.org/10.1007/BF01160212

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01160212

Keywords

Search

Navigation