SavedAdd your journal

Journals / Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 22 Sayı: 1

On new modular sequence space defined over 2-normed spaces

Gülcan Atıci Turan(MUŞ ALPARSLAN ÜNİVERSİTESİ)0000-0002-1009-6072
Pages
248–254
Publication Date
2020-01-10
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some various properties and some inclusions are also examined on this space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a new sequence space F(‖.,.‖,M,p,u) is defined by using a sequence of Orlicz functions in 2-normed spaces.
📊
Key Findings & Data:In this paper, a new sequence space F(‖.,.‖,M,p,u) is defined by using a sequence of Orlicz functions in 2-normed spaces.
💡
Conclusion & Impact:Some various properties and some inclusions are also examined on this space.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Orlicz fonksiyon · dizi uzayları · 2-norm

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.

Özet

Bu çalışmada, 2-normlu uzaylarda Orlicz fonksiyonlarının bir dizisi kullanılarak F(‖.,.‖,M,p,u) yeni dizi uzayı tanımlanmıştır. Ayrıca bu uzayın bazı özellikleri ve bazı kapsama bağıntıları incelenmiştir.

🔖

Cite This Article

Turan, G. A. (2020). On new modular sequence space defined over 2-normed spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 22 Sayı: 1, 248–254. https://doi.org/10.25092/baunfbed.680685

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  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).
  9. Kamthan, P.K., Gupta, M., Sequence spaces and series, Marcel Dekker, New York, (1981).
  10. Dutta, H., Kılıçman, A., Altun, Ö., Topological properties of some sequences defined over 2-normed spaces, SpringerPlus, 5, 2-16, (2016).
  11. Dutta, H., Some statistically convergent difference sequence spaces defined over real 2-normed linear spaces, Applied Sciences, 12, 37–47, (2010).
  12. Bektaş, Ç.A., Altin, Y., The sequence space l_M (p,q,s) on seminormed spaces, Indian Journal of Pure Applied Mathematics, 34(4), 529–534, (2003).
  13. Rao, M.M., Ren, Z.D., Theory on Orlicz spaces, Marcel Dekker, New York, (1991).
  14. Gürdal, M. and Şahiner, A., Ideal Convergence in n-normed spaces and some new sequence spaces via n-norm, Journal of Fundamental Sciences, 4(1), 233-244, (2008).
  15. Şahiner, A., Gürdal, M., Saltan, S. and Gunawan, H., Ideal convergence in 2-normed spaces, Taiwanese Journal of Mathematics, 11(5), 1477-1484, (2007).
  16. Şahiner, A. and Gürdal, M., New sequence spaces in n-normed spaces with respect to an Orlicz function, The Aligarh Bulletin of Mathematics, 27(1), 53-58, (2008).