Journals / Journal of Universal Mathematics / 2024 / Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" Özel Sayı

SOME CONVERGENCE TYPES OF FUNCTION SEQUENCES AND THEIR RELATIONS

Pages
31–43
Publication Date
2024-12-29
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AI Summary & Key Takeaways

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

Our findings contribute to a deeper understanding of the structural properties of function sequences and their convergence behaviors.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigate various types of convergence for sequences of functions and examine the relationships among these types.
📊
Key Findings & Data:In this paper, we investigate various types of convergence for sequences of functions and examine the relationships among these types.
💡
Conclusion & Impact:Our findings contribute to a deeper understanding of the structural properties of function sequences and their convergence behaviors.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:function sequence · boundedness · convergence

Abstract

In this paper, we investigate various types of convergence for sequences of functions and examine the relationships among these types. Our findings contribute to a deeper understanding of the structural properties of function sequences and their convergence behaviors.

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Cite This Article

Erdem, A., Tunç, T. (2024). SOME CONVERGENCE TYPES OF FUNCTION SEQUENCES AND THEIR RELATIONS. Journal of Universal Mathematics, Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" Özel Sayı, 31–43. https://doi.org/10.33773/jum.1504000

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References (13)

  1. E. Athanassiadou, A. Boccuto, X. Dimitriou and N. Papanastassiou, Ascoli-type theorems and ideal alpha-convergence, Filomat, Vol.26, No. 2, pp. 397-405 (2012).
  2. E. Athanassiadou, C. Papachristodoulos and N. Papanastassiou, alpha and hyper alpha-convergence in function spaces, Q. and A. General Topology, Vol. 33, pp. 1-16 (2015).
  3. R. Courant, Ueber eine Eigenschaft der Abbildungsfunktioen bei konformer Abbildung, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse: 101–109 (1914).
  4. R. Das, N. Papanastassiou, Some types of convergence of sequences of real valued functions, Real Analysis Exchange Vol. 29, No. 1, pp. 43–58. (2004).
  5. S. Das, A. Ghosh, A Study on statistical versions of convergence of sequences of functions, Mathematica Slovaca, Vol. 72, No.2, pp. 443–458 (2022).
  6. A. Ghosh. I-alpha-convergence and I-exhaustiveness of sequences of metric functions. Matematicki Vesnik, Vol.74, No.2, pp. 110-118 (2022).
  7. V. Gregoriades, and N. Papanastassiou, The notion of exhaustiveness and Ascoli-type theorems, Topology and its Applications, Vol. 155, No. 10, pp. 1111-1128 (2008).
  8. H. Hahn, Theorie der reellen Funktionen, Berlin, 1921.
  9. N. Papanastassiou, A note on convergence of sequences of functions, Topology and its Applications, 275:107017 (2020).
  10. W. Rudin, Principles of mathematical analysis (Vol. 3). New York: McGraw-hill (1964).
  11. H. Schaefer, Stetige Konvergenz in allgemeinen topologischen Raumen, Arch. Math, Vol. 6, pp. 423–427 (1955).
  12. S. Stoilov, Continuous convergence, Rev. Math. Pures Appl. 4 (1959).
  13. R. Courant, Ueber eine Eigenschaft der Abbildungsfunktioen bei konformer Abbildung, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse: 101–109 (1914).