Journals / Sinop Üniversitesi Fen Bilimleri Dergisi / 2017 / Cilt: 2 - Sayı: 1

Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators

Pages
59–66
Publication Date
2017-07-01
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)

Also, we study the rates of statistical relatively A−summability of positive linear operators.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the concept of statistically relatively A-summability.
📊
Key Findings & Data:Based upon this definition and A-statistically relatively uniform convergence for double sequences of functions, we prove a Korovkin-type approximation theorem and give a strong example.
💡
Conclusion & Impact:Also, we study the rates of statistical relatively A−summability of positive linear operators.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Statistical relatively convergence · statistical A−summability · the Korovkin theorem

Özet

In this paper, we introduce the concept of statistically relatively A-summability. Based upon this definition and A-statistically relatively uniform convergence for double sequences of functions, we prove a Korovkin-type approximation theorem and give a strong example. Also, we study the rates of statistical relatively A−summability of positive linear operators.

🔖

Cite This Article

DİRİK, F., ŞAHİN, P. O. (2017). Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators. Sinop Üniversitesi Fen Bilimleri Dergisi, Cilt: 2 - Sayı: 1, 59–66. https://ajindex.com/articles/415172

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (1)

  1. F. Altomare and M. Campiti, Korovkin Type Approximation Theory and Its Application, Walter de Gruyter Publ., Berlin (1994) 2. Anastassiou, G. A. and Duman, O., A Baskakov type generalization of statistical Korovkin theory. J. Math. Anal. Appl. 340, 476-486 (2008) 3. Anastassiou, G. A. and Duman, O., Statistical fuzzy approximation by fuzzy positive linear operators. Compt. Math. Appl. 55, 573-580, (2008) 4. E. W. Chittenden, Relatively uniform convergence of sequences of functions, Transactions of the AMS, 15, 197-201 (1914) 5. E. W. Chittenden, On the limit functions of sequences of continuous functions converging relatively uniformly, Transactions of the AMS, 20, 179-184 (1919) 6. E. W. Chittenden, Relatively uniform convergence and classi cation of functions, Transactions of the AMS, 23, 1-15, (1922) 7. F. Dirik and K. Demirci, Korovkin Type Approximation Theorem for Functions of Two Variables in Statistical Sense, Turk J. Math. 34, 73-83, (2010) 8. Hamilton, H. J., Transformations of multiple sequences, Duke Math. J. 2, 29-60 (1936) 9. G. H. Hardy, Divergent series, Oxford Uni. Press, London, (1949)