Research Article

On new modular sequence space defined over 2-normed spaces

Volume: 22 Number: 1 January 10, 2020
EN TR

On new modular sequence space defined over 2-normed spaces

Abstract

In this paper, a new sequence space F(‖.,.‖,M,p,u) is defined by using a sequence of Orlicz functions in 2-normed spaces. Some various properties and some inclusions are also examined on this space.

Keywords

References

  1. Gähler, S., Uber 2-Banach räume, Mathematische Nachrichten, 42, 335-347, (1969).
  2. Diminnie, C., Gähler, S. and White Jr. A.G., 2-inner product spaces, Demonstrario Mathematica, 6, 525-536, (1973).
  3. White Jr. A.G., 2-Banach spaces, Mathematische Nachrichten, 42, 43-60, (1969).
  4. Gähler, S., Siddiqi, A.H. and Gupta, S.C., Contributions to non-archimedean functional analysis, Mathematische Nachrichten, 69, 162-171, (1975).
  5. Siddiqi, A.H., 2-normed spaces, The Aligarh Bulletin of Mathematics, 53-70, (1980).
  6. Lindenstrauss, J., Tzafriri, L. On Orlicz sequence spaces, Israel Journal of Mathematics, 101, 379–390, (1971).
  7. Gähler, S., Lineare 2-normierte Räume, Mathematische Nachrichten, 28, 1–43, (1965).
  8. Maddox, I. J., Elements of functional analysis, Cambridge University Press, Cambridge, (1970).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

January 10, 2020

Submission Date

July 6, 2019

Acceptance Date

September 17, 2019

Published in Issue

Year 2020 Volume: 22 Number: 1

APA
Atıci Turan, G. (2020). On new modular sequence space defined over 2-normed spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(1), 248-254. https://doi.org/10.25092/baunfbed.680685
AMA
1.Atıci Turan G. On new modular sequence space defined over 2-normed spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020;22(1):248-254. doi:10.25092/baunfbed.680685
Chicago
Atıci Turan, Gülcan. 2020. “On New Modular Sequence Space Defined over 2-Normed Spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (1): 248-54. https://doi.org/10.25092/baunfbed.680685.
EndNote
Atıci Turan G (January 1, 2020) On new modular sequence space defined over 2-normed spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 1 248–254.
IEEE
[1]G. Atıci Turan, “On new modular sequence space defined over 2-normed spaces”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 1, pp. 248–254, Jan. 2020, doi: 10.25092/baunfbed.680685.
ISNAD
Atıci Turan, Gülcan. “On New Modular Sequence Space Defined over 2-Normed Spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/1 (January 1, 2020): 248-254. https://doi.org/10.25092/baunfbed.680685.
JAMA
1.Atıci Turan G. On new modular sequence space defined over 2-normed spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020;22:248–254.
MLA
Atıci Turan, Gülcan. “On New Modular Sequence Space Defined over 2-Normed Spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 1, Jan. 2020, pp. 248-54, doi:10.25092/baunfbed.680685.
Vancouver
1.Gülcan Atıci Turan. On new modular sequence space defined over 2-normed spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020 Jan. 1;22(1):248-54. doi:10.25092/baunfbed.680685