Skip to main content
Log in

Theorems of Tauberian type for (J, pn) summation methods

  • Published:
Ukrainian Mathematical Journal 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

Literature cited

  1. G. Hardy, Divergent Series, Oxford Univ. Press (1949).

  2. D. Borwein, “On a scale of Abel-type summability methods,” Proc. Camb. Phil. Soc. Math. Phys. Sci.,53, No. 2, 318–322 (1957).

    Google Scholar 

  3. A. P. Kokhanovskii, “Theorems of Tauberian type for the semicontinuous logarithmic summation method,” Ukr. Mat. Zh.,26, No. 6, 740–748 (1974).

    Google Scholar 

  4. N. A. Davydov, “The (c)-property of the Cesaro and Abel-Poisson methods aad theorems of Tauberiaa type,” Mat. Sb.,60, No. 2, 185–206 (1963).

    Google Scholar 

  5. P. A. Jeyarajan, “A Tauberian theorem for the generalized Abel method of summability,” J. Indian Math. Soc.,36, 279–289 (1972).

    Google Scholar 

  6. L. S. Teslenko, “On conditions for the equivalence of the Abel-Poisson and Cesaro summation methods of series,” in: Approximate Methods of Mathematical Analysis [in Russian], (1974), pp. 132–143.

  7. F. Stepanek, “A Tauber's theorem for (J, Pn) summability,” Monatsch. Math.,70, No. 3, 256–260 (1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 29, No. 6, pp. 763–770, November–December, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mikhalin, G.A. Theorems of Tauberian type for (J, pn) summation methods. Ukr Math J 29, 564–569 (1977). https://doi.org/10.1007/BF01085962

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085962

Keywords

Navigation