IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v148y2021ics0960077921003702.html
   My bibliography  Save this article

A new approach to Korovkin-type approximation via deferred Cesàro statistical measurable convergence

Author

Listed:
  • Jena, Bidu Bhusan
  • Paikray, Susanta Kumar
  • Dutta, Hemen

Abstract

The work of this paper aims to introduce the notions of statistical mean convergence, statistical measurable convergence, and statistical Lebesgue measurable convergence by means of deferred Cesàro summability and apply them in Korovkin-type new approximations. We first established some fundamental results to understand the connections among them. Then we established new versions of Korovkin-type theorems with three algebraic test functions via deferred Cesàro statistical Lebesgue measurable convergence for sequences of measurable functions. Also, several examples have been given in the sequel to support our new ideas and findings.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003702
    DOI: 10.1016/j.chaos.2021.111016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921003702
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111016?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003702. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.