IDEAS home Printed from https://ideas.repec.org/a/wly/jnlamp/v2015y2015i1n564854.html

On the Rate of Convergence by Generalized Baskakov Operators

Author

Listed:
  • Yi Gao
  • Wenshuai Wang
  • Shigang Yue

Abstract

We firstly construct generalized Baskakov operators Vn,α,q(f; x) and their truncated sum Bn,α,q(f; γn, x). Secondly, we study the pointwise convergence and the uniform convergence of the operators Vn,α,q(f; x), respectively, and estimate that the rate of convergence by the operators Vn,α,q(f; x) is 1/nq/2. Finally, we study the convergence by the truncated operators Bn,α,q(f; γn, x) and state that the finite truncated sum Bn,α,q(f; γn, x) can replace the operators Vn,α,q(f; x) in the computational point of view provided that limn→∞nγn=∞.

Suggested Citation

  • Yi Gao & Wenshuai Wang & Shigang Yue, 2015. "On the Rate of Convergence by Generalized Baskakov Operators," Advances in Mathematical Physics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:564854
    DOI: 10.1155/2015/564854
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2015/564854
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/564854?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
    ---><---

    References listed on IDEAS

    as
    1. Vijay Gupta & Ravi P. Agarwal, 2014. "Convergence Estimates in Approximation Theory," Springer Books, Springer, edition 127, number 978-3-319-02765-4, March.
    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. Behar Baxhaku & Artan Berisha, 2017. "The Approximation Szász‐Chlodowsky Type Operators Involving Gould‐Hopper Type Polynomials," Abstract and Applied Analysis, John Wiley & Sons, vol. 2017(1).
    2. Neha Malik & Serkan Araci & Man Singh Beniwal, 2017. "Approximation of Durrmeyer Type Operators Depending on Certain Parameters," Abstract and Applied Analysis, John Wiley & Sons, vol. 2017(1).
    3. Qiu Lin, 2024. "Approximation by q‐Post‐Widder Operators Based on a New Parameter," Abstract and Applied Analysis, John Wiley & Sons, vol. 2024(1).

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnlamp:v:2015:y:2015:i:1:n:564854. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/3197 .

    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.