SavedAdd your journal

Journals / Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 20 Sayı: 3 Özel Sayı

On some new sequence spaces

Ekrem Savaş
Pages
154–162
Publication Date
2018-10-29
🏛️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)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:σ- yakınsama · mutlak lambda- değişmez · güçlü lambda değişmez toplanabilirlik

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.

Özet

Bu makalede, genelleştirilmiş de la Vallée-Poussin ortalamalarından ortaya çıkan bazı yeni dizi uzayları incelenmiş ve belirli koşullar altında tam paranormlu uzay olan kuvvetli λ-değişmez toplanabilir dizi uzayları tanıtılmıştır.

🔖

Cite This Article

Savaş, E. (2018). On some new sequence spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 20 Sayı: 3 Özel Sayı, 154–162. https://doi.org/10.25092/baunfbed.487747

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (19)

  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).
  9. Malkowsky, E. and Savaş, E., Some -sequence spaces defined by a modulus, Archivum Math., 36(3), 219-228, (2000).
  10. Mursaleen, M., Matrix transformation between some new sequence spaces, Houston J. Math., 9, 505–509, (1993),.
  11. Mursaleen, M., On some new invariant matrix methods of summability, Q.J. Math., 34, 77-86, (1983).
  12. Nanda, S., Some sequence spaces and almost convergence, J. Austral. Math. Soc. (Series A), 22, 446-455, (1976).
  13. Savaş, E., Some sequence spaces involving invariant means, Indian J. Math., 31, (1989).
  14. Savaş, E., A note on some sequence spaces, Doğa Türk. J. Math., 15, (1991).
  15. Savaş, E., Invariant means and generalization of a theorem of S. Mishra, Doga Türk. J. Math., 14, (1989).
  16. Savaş, E., Invariant coregular and conull matrices of operators, Hacettepe Bull. Math. Sci. and Eng., 19, (1990).
  17. Savaş, E., Infinite matrices and generalized almost convergence, Doga Türk. J. Math., 5(3), 1-10, (1987).
  18. Saraswat, S.K. and Gupta, S.K., Spaces of strongly -summable sequences, Bull. Cal. Math. Soc., 75, 179-184, (1983).
  19. Schaefer, P., Infinite matrices and invariant means, Proc. Amer. Math. Soc., 36, 104–110, (1972).