Research Article

On some new sequence spaces

Volume: 20 Number: 3 October 29, 2018
EN TR

On some new sequence spaces

Abstract

In this paper, we investigate some new sequence spaces which arise from the notation of generalized de la Vallée-Poussin means and introduce the spaces of strongly λ- invariant summable sequences which happen to be complete paranormed spaces under certain conditions.

Keywords

References

  1. Banach, S., Theorie des Operations Lineaires, (1932).
  2. Duran, J.P., Infinite matrices and almost convergence, Math. Z., 128, 75-83, (1972).
  3. Hamilton, H.J. and Hill, J. D., On strong summability, Amer. J. Math., 60, 588-94, (1938).
  4. Kuttner, B., Note on strong summability, J. London Math. Soc., 21, 118-22, (1946).
  5. King, J.P., Almost summable sequences, Proc. Amer. Math. Soc., 17, 1219-25, (1966).
  6. Lorentz, G.G., A contribution to the theory of divergent sequences, Acta Math., 80, 167-190, (1948).
  7. Maddox, I.J., Spaces of strongly summable sequences, Quart. J. Math. Oxford Ser., (2)18, 345-55, (1967).
  8. Maddox, I.J., Elements of Functional Analysis, Cambridge University Press, (1970).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

October 29, 2018

Submission Date

November 4, 2018

Acceptance Date

November 25, 2018

Published in Issue

Year 2018 Volume: 20 Number: 3

APA
Savaş, E. (2018). On some new sequence spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20(3), 154-162. https://doi.org/10.25092/baunfbed.487747
AMA
1.Savaş E. On some new sequence spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018;20(3):154-162. doi:10.25092/baunfbed.487747
Chicago
Savaş, Ekrem. 2018. “On Some New Sequence Spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 (3): 154-62. https://doi.org/10.25092/baunfbed.487747.
EndNote
Savaş E (October 1, 2018) On some new sequence spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 3 154–162.
IEEE
[1]E. Savaş, “On some new sequence spaces”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 20, no. 3, pp. 154–162, Oct. 2018, doi: 10.25092/baunfbed.487747.
ISNAD
Savaş, Ekrem. “On Some New Sequence Spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20/3 (October 1, 2018): 154-162. https://doi.org/10.25092/baunfbed.487747.
JAMA
1.Savaş E. On some new sequence spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018;20:154–162.
MLA
Savaş, Ekrem. “On Some New Sequence Spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 20, no. 3, Oct. 2018, pp. 154-62, doi:10.25092/baunfbed.487747.
Vancouver
1.Ekrem Savaş. On some new sequence spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018 Oct. 1;20(3):154-62. doi:10.25092/baunfbed.487747

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