SavedAdd your journal

Journals / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 8 - Sayı: 8

Core Theorems in The Generalized Statistical Sense

Emre Taş
Tuğba Yurdakadim
Pages
16–21
Publication Date
2022-11-05
DOI
—
🏛️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)

Finally we answer the multipliers and factorization problem for B-statistically convergent sequences.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main purpose of the paper is to give some results concerning with the generalized statistical core ofa bounded sequence via B-statistical convergence where B = (Bi) is a sequence of infinite matrices.
📊
Key Findings & Data:We characterizethe matrix class (stB ∩X, Y) for certain sequence spaces X and Y.
💡
Conclusion & Impact:Finally we answer the multipliers and factorization problem for B-statistically convergent sequences.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The main purpose of the paper is to give some results concerning with the generalized statistical core ofa bounded sequence via B-statistical convergence where B = (Bi) is a sequence of infinite matrices. We characterizethe matrix class (stB ∩X, Y) for certain sequence spaces X and Y. Here stB is the set of all B-statistically convergentsequences. Finally we answer the multipliers and factorization problem for B-statistically convergent sequences.

🔖

Cite This Article

Taş, E., Yurdakadim, T. (2022). Core Theorems in The Generalized Statistical Sense. Turkish Journal of Mathematics and Computer Science, Cilt: 8 - Sayı: 8, 16–21. https://ajindex.com/articles/609175

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. Bell, H.T., Order summability and almost convergence, Proc. Amer. Math. Soc., 38(1973), 548–552
  2. Connor, J., Demirci, K., Orhan, C., Multipliers and factorization for bounded statistically convergent sequences, Analysis (Munich), 22(2002), 321–333
  3. Demirci, K., A -statistical core of a sequence, Demonstratio Math., 33(2000), 343–353
  4. Demirci, K., I-limit superior and limit inferior, Math. Commun., 6(2001), 165–172
  5. Dirik, F., Demirci, K., B-statistical approximation for periodic functions, Studia Sci. Math. Hungar., 47(2009), 321–332
  6. Dirik, F., Demirci, K., Korovkin type approximation theorems in B-statistical sense, Math. Comput. Modelling, 49(2009), 2037–2044
  7. Fridy J.A., Orhan, C., Statistical limit superior and limit inferior, Proc. Amer. Math. Soc., 125(1997), 3625–3631
  8. Khan, M.K., Orhan, C., Matrix characterization of A-statistical convergence, J. Math. Anal. Appl., 335(2007), 406–417
  9. Kolk, E., Matrix summability of statistically convergent sequences, Analysis, 13(1993), 77–83
  10. Kolk, E., Inclusion relations between the statistical convergence and strong summability, Acta et Comm. Univ. Tartu. Math., 2(1998), 39–54
  11. Maddox, I.J., Some analogues of Knopp’s core theorem, Internat. J. Math. and Math. Sci., 2(1979), 605–614
  12. Mursaleen, M., Edely, O.H.H., Generalized statistical convergence, Information Sciences, 162(2004), 287–294
  13. Orhan, C., Sublinear functionals and Knopp’s core theorem, Internat. J. Math. and Math. Sci., 13(1990), 461–468
  14. Orhan, S., Dirik, F., Strong and A-statistical comparisons for double sequences and multipliers, Studia Universitatis Babes¸-Bolyai Mathematica, 58(2013), 213–223
  15. Ozg ¨ uc¸, I.S., Yurdakadim, T., ¨ On quasi statistical convergence, Commun. Fac. Sci. Univ. Ank. Series A1, 61(2012), 11–17
  16. Shcherbakov, A.A., Kernels of sequences of complex numbers and their regular transformations, Math. Notes, 22(1977), 948–953.