IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i13p2239-d848130.html
   My bibliography  Save this article

Operators Obtained by Using Certain Generating Function for Approximation

Author

Listed:
  • Serhan Varma

    (Department of Mathematics, Faculty of Science, Ankara University, TR-06100 Ankara, Turkey)

  • Sezgin Sucu

    (Department of Mathematics, Faculty of Science, Ankara University, TR-06100 Ankara, Turkey)

Abstract

This paper is concerned with the sequence of positive linear operators obtained by certain generating functions of polynomials and with investigation of its approximation properties in detail. Initially, the convergence theorem is expressed for the sequence constructed in this article using the universal Korovkin-type theorem and then considering the modulus of continuity and the Lipschitz class, an estimate of the degree of approximation is obtained for this sequence of positive linear operators. Moreover, the generalization involving integral of these operators is defined and then their approximation properties are examined.

Suggested Citation

  • Serhan Varma & Sezgin Sucu, 2022. "Operators Obtained by Using Certain Generating Function for Approximation," Mathematics, MDPI, vol. 10(13), pages 1-9, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2239-:d:848130
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/13/2239/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/13/2239/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sezgin Sucu & Serhan Varma, 2019. "Approximation by Sequence of Operators Involving Analytic Functions," Mathematics, MDPI, vol. 7(2), pages 1-10, February.
    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. Qing-Bo Cai & Bayram Çekim & Gürhan İçöz, 2021. "Gamma Generalization Operators Involving Analytic Functions," Mathematics, MDPI, vol. 9(13), pages 1-8, July.
    2. Abdullah Alotaibi, 2022. "Approximation of GBS Type q -Jakimovski-Leviatan-Beta Integral Operators in Bögel Space," Mathematics, MDPI, vol. 10(5), pages 1-21, February.
    3. Dhruv Bhatnagar, 2022. "Quantitative Theorems for a Rich Class of Novel Miheşan-type Approximation Operators Incorporating the Boas-Buck Polynomials," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(4), pages 1017-1035, December.

    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:gam:jmathe:v:10:y:2022:i:13:p:2239-:d:848130. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.