Skip to main content
Log in

The(r n) summability transform

  • 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

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Cowling, V. F., Summability and Analytic Continuation,Proc. Amer. Math. Soc. 1 (1950), 536–542.

    Article  MATH  MathSciNet  Google Scholar 

  2. Cowling, V. F. and King, J. P., On the Taylor and Lototsky Summability of Series of Legendre Polynomials,J. d'Analyse Math.,10 (1962–3), 139–152.

    Article  MathSciNet  Google Scholar 

  3. Jakimovski, Amnon, Analytic Continuation and Summability of Legendre Polynomials,Quart. J. Math., Oxford (2),15 (1964), 289–302.

    Article  MATH  MathSciNet  Google Scholar 

  4. Jakimovski, Amnon, Summability of the Heine and Neumann series of Legendre polynomials,Canad. J. Math.,18 (1966), 1261–1263.

    MATH  MathSciNet  Google Scholar 

  5. Laush, G., Relations Among the Weierstrass Methods of Summability, Doctoral Dissertation, Cornell University, Ithaca, N.Y., 1949.

    Google Scholar 

  6. Lorentz, G. G., Bernstein Polynomials, Mathematical Expositions, No. 8 University of Toronto Press, Toronto (1953), 117–120.

    MATH  Google Scholar 

  7. Powell, R. E., TheL(r,t) Summability Transform,Canadian J. Math.,18 (1966), 1251–1260.

    MATH  MathSciNet  Google Scholar 

  8. Whittaker, E. T. and Watson, G. N., A Course of Modern Analysis, Cambridge, (1952), 321.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper is a portion of the author's doctoral dissertation written at Lehigh University in 1965–66 under the direction of Professor J. P. King.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Powell, R.E. The(r n) summability transform. J. Anal. Math. 20, 289–304 (1967). https://doi.org/10.1007/BF02786677

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02786677

Keywords

Navigation