Skip to main content
SpringerLink
Log in

A New Application of Quasimonotone Sequences

  • BRIEF COMMUNICATIONS
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We prove a general theorem dealing with the generalized absolute Cesàro summability factors of infinite series. This theorem also includes some new and known results.

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

Similar content being viewed by others

References

  1. N. K. Bari and S. B. Stechkin, “Best approximation and differential properties of two conjugate functions,” Trudy Mosk. Mat. Obshch., 5, 483–522 (1956).

    Google Scholar 

  2. R. P. Boas, “Quasi-positive sequences and trigonometric series,” Proc. London Math. Soc. A, 14, 38–46 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  3. H. Bor, “An application of almost increasing and δ-quasi-monotone sequences,” J. Inequal. Pure Appl. Math., 1, Article 18, 6 p. (2000).

  4. H. Bor, “Corrigendum on the paper in [3],” J. Inequal. Pure Appl. Math., 3, Article 16, 2 p. (2002).

  5. H. Bor, “On a new application of quasi power increasing sequences,” Proc. Est. Acad. Sci., 57, 205–209 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  6. H. Bor, “On generalized absolute Cesàro summability,” An. ¸Sti. Univ. Ia¸si. Mat. (New Ser.), 57, 323–328 (2011).

  7. H. Bor, “Quasi-monotone and almost increasing sequences and their new applications,” Abstr. Appl. Anal., Article ID 793548, 6 p. (2012).

  8. D. Borwein, “Theorems on some methods of summability,” Quart. J. Math. Ser. (2), 9, 310–316 (1958).

  9. G. Das, “A Tauberian theorem for absolute summability,” Proc. Cambridge Phil. Soc., 67, 321–326 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  10. T. M. Flett, “On an extension of absolute summability and some theorems of Littlewood and Paley,” Proc. London Math. Soc., 7, 113–141 (1957).

    Article  MathSciNet  MATH  Google Scholar 

  11. W. T. Sulaiman, “A note on |A|k summability factors of infinite series,” Appl. Math. Comput., 216, 2645–2648 (2010).

Download references

Author information

Authors and Affiliations

  1. P. O. Box 121, 06-TR Bahçelievler, Ankara, Turkey

    H. Bor

Authors
  1. H. Bor
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 7, pp. 1004–1008, July, 2016. Original article submitted May 30, 2014

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bor, H. A New Application of Quasimonotone Sequences. Ukr Math J 68, 1146–1151 (2016). https://doi.org/10.1007/s11253-016-1283-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-016-1283-5

Search

Navigation