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Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems

Author

Listed:
  • Braha, Naim L.
  • Loku, Valdete
  • Srivastava, H.M.

Abstract

In this paper, we propose to introduce a new Λ2-weighted statistical convergence. Based upon this definition, we prove some Korovkin type theorems. We also find the rate of the convergence for this kind of weighted statistical convergence and derive some Voronovskaya type theorems.

Suggested Citation

  • Braha, Naim L. & Loku, Valdete & Srivastava, H.M., 2015. "Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 675-686.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:675-686
    DOI: 10.1016/j.amc.2015.05.108
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    Cited by:

    1. Hari Mohan Srivastava & Bidu Bhusan Jena & Susanta Kumar Paikray, 2020. "Statistical Deferred Nörlund Summability and Korovkin-Type Approximation Theorem," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    2. Kadak, Uğur & Braha, Naim L. & Srivastava, H.M., 2017. "Statistical weighted B-summability and its applications to approximation theorems," Applied Mathematics and Computation, Elsevier, vol. 302(C), pages 80-96.
    3. Jena, Bidu Bhusan & Paikray, Susanta Kumar & Dutta, Hemen, 2021. "A new approach to Korovkin-type approximation via deferred Cesàro statistical measurable convergence," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    4. Mursaleen, M. & Ansari, Khursheed J., 2015. "On Chlodowsky variant of Szász operators by Brenke type polynomials," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 991-1003.

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