Skip to main content
Log in

On generalized functional Nörlund methods

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

We discuss the relations between the convergence fields of the functional Nörlund methods (N, p, q, π) and (N, πrp+p*r,q, πρ) in the ordinary and absolute case,p, q, r being suitable Lebesgue integrable functions and π, ρ∈ϱ.

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

Similar content being viewed by others

References

  1. Borwein D.,On products of sequences, J. London Math. Soc.,33 (1958), 352–357.

    Article  MATH  MathSciNet  Google Scholar 

  2. Choudhary B.,On functional Nörlund methods, Proc. Camb. Phil. Soc.,67 (1970), 47–60.

    MATH  MathSciNet  Google Scholar 

  3. Das G.,On functional methods, J. Indian Math. Soc., (N.S.)31 (1968), 81–93.

    Google Scholar 

  4. Doetsch G.,Handbuch der Laplace-Transformation, I, Basel, 1950.

  5. Knopp K.,Nörlund-Verfahren für Funktionen, Math. Z.,63 (1955), 39–52.

    Article  MATH  MathSciNet  Google Scholar 

  6. Knopp K.,—Vanderburg B.,Functional Nörlund methods, I, Rend. Circ. Mat. Palermo, (2)4 (1955), 5–32.

    Article  MATH  MathSciNet  Google Scholar 

  7. Kuttner B.,The generalized limit of a function, Proc. London Math. Soc., (2)47 (1941), 142–173.

    MATH  MathSciNet  Google Scholar 

  8. Miesner W.,The convergence fields of Nörlund means, Proc. London Math. Soc., (3)15 (1965), 495–507.

    Article  MATH  MathSciNet  Google Scholar 

  9. Peyerimhoff A.,On convergence fields of Nörlund means, Proc. Amer. Math. Soc.,7 (1956), 335–347.

    Article  MATH  MathSciNet  Google Scholar 

  10. Schaper R.,Über Konvergenzfelder von verallgemeinerten Nörlundverfahren Dissertation, Kassel, 1973.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schaper, R. On generalized functional Nörlund methods. Rend. Circ. Mat. Palermo 28, 205–219 (1979). https://doi.org/10.1007/BF02844095

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02844095

Keywords

Navigation