Skip to main content
SpringerLink
Log in

Absolute summability factors of infinite series by Rieszian means

  • Published:
Rendiconti del Circolo Matematico di Palermo 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. L. S. Bosanquet,The summability of Laplace-Stieltjes integrals, Proc. London Math. Soc. (3), 3 (1953), 267–304.

    Article  MATH  MathSciNet  Google Scholar 

  2. G. D. Dikshit,On the absolute Riesz summability factors of infinite series (I), Indian Jour. Math., 1 (1958), 33–40.

    MATH  MathSciNet  Google Scholar 

  3. G. D. Dikshit,On the absolute Riesz summability factors of infinite series (II), Proc. Nat. Inst. Sc. India, 26 A (1960), 86–94.

    MathSciNet  Google Scholar 

  4. G. D. Dikshit,Absolute summability factors for infinite series, Thesis (D. Phil), Allahabad University (1960).

  5. U. Guha,The «second theorem of consistency» for absolute Riesz summability, Jour. London Math. Soc., 31 (1956), 300–311.

    Article  MATH  MathSciNet  Google Scholar 

  6. U. Guha,Convergence factors for Riesz summability, Jour. London Math. Soc., 31 (1956), 311–319.

    Article  MATH  MathSciNet  Google Scholar 

  7. G. H. Hardy and M. Riesz,The general theory of Dirichlet's series, Cambridge Tracts in Maths. and Math. Physics, No. 18 (1915).

  8. K. Knopp and G. G. Lorentz,Beiträge zur absoluten Limitierung, Arch. Math., 2 (1949), 10–16.

    Article  MathSciNet  Google Scholar 

  9. K. Matsumoto,Local property of summability |R,λ n, 1|, Tôhoku Math. Jour. (2), 8 (1956), 114–124.

    Article  MATH  Google Scholar 

  10. R. Mohanty,On the summability |R, log ω, 1| of Fourier series, Jour. London Math. Soc., 25 (1950), 67–72.

    Article  MATH  MathSciNet  Google Scholar 

  11. N. Obrechkoff,Sur la sommation absolue des séries de Dirichlet, C. R. Acad. Sci. (Paris), 186 (1928), 215–217.

    Google Scholar 

  12. N. Obrechkoff,Über die absolute Summierung der Dirichletschen Reihen, Math. Zeitschrift, 30 (1929), 375–386.

    Article  Google Scholar 

  13. B. N. Prasad and T. Pati,The second theorem of consistency in the theory of absolute Riesz summability, Math. Annalen, 140 (1960), 187–197.

    Article  MATH  MathSciNet  Google Scholar 

  14. M. Riesz,Sur les séries de Dirichlet et les séries entières, C. R. Acad. Sci. (Paris), 149 (1909), 909–912.

    Google Scholar 

  15. J. B. Tatchell,A theorem on absolute Riesz summability, Jour. London Math. Soc., 29 (1954), 49–59.

    Article  MATH  MathSciNet  Google Scholar 

  16. C. De la Vallée Poussin,Course d'analyse infinitésimale (I), Louvain-Paris, 5th Ed., 1923.

Download references

Author information

Authors and Affiliations

  1. Allahabad, India

    Z. U. Ahmad

Authors
  1. Z. U. Ahmad
    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

Ahmad, Z.U. Absolute summability factors of infinite series by Rieszian means. Rend. Circ. Mat. Palermo 11, 91–104 (1962). https://doi.org/10.1007/BF02849428

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02849428

Keywords

Search

Navigation