IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v371y2020ics0096300319309087.html
   My bibliography  Save this article

Generalized Szász-Mirakjan type operators via q-calculus and approximation properties

Author

Listed:
  • Ahasan, Mohd.
  • Mursaleen, M.

Abstract

The aim of this paper is to construct q-analogue of generalized Szász-Mirakjan type operators whose construction depend on a real valued function ρ. We prove that the new operators provide better weighted uniform approximation over [0, ∞). In terms of weighted moduli of smoothness, we obtain degrees of approximation associated with the function ρ. Also a Voronovskaya type result is obtained. Finally, we give some graphical examples for these operators and show that the new operators are more flexible in view of rate of convergence to the function f which depends on the selection of ρ, un,q and vn,q.

Suggested Citation

  • Ahasan, Mohd. & Mursaleen, M., 2020. "Generalized Szász-Mirakjan type operators via q-calculus and approximation properties," Applied Mathematics and Computation, Elsevier, vol. 371(C).
  • Handle: RePEc:eee:apmaco:v:371:y:2020:i:c:s0096300319309087
    DOI: 10.1016/j.amc.2019.124916
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319309087
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2019.124916?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. N. I. Mahmudov, 2012. "Approximation by the -Szász-Mirakjan Operators," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Aglić Aljinović, Andrea & Kovačević, Domagoj & Puljiz, Mate & Žgaljić Keko, Ana, 2021. "On Ostrowski inequality for quantum calculus," Applied Mathematics and Computation, Elsevier, vol. 410(C).

    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. Mohd Qasim & M. Mursaleen & Asif Khan & Zaheer Abbas, 2020. "Approximation by Generalized Lupaş Operators Based on q -Integers," Mathematics, MDPI, vol. 8(1), pages 1-15, January.

    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:apmaco:v:371:y:2020:i:c:s0096300319309087. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.