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On Chlodowsky variant of Szász operators by Brenke type polynomials

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  • Mursaleen, M.
  • Ansari, Khursheed J.

Abstract

The aim of the present paper is to give a Chlodowsky type generalization of Szász operators defined by means of the Brenke type polynomials. We obtain convergence properties of our operators with the help of universal Korovkin-type property and also establish the order of convergence by using a classical approach, the second order modulus of continuity and Peetre’s K-functional. We also give a Voronoskaja type theorem. Furthermore, we study the convergence of these operators in a weighted space of functions on a positive semi-axis. Some graphical examples for the convergence of our operators and error estimation are also given.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:991-1003
    DOI: 10.1016/j.amc.2015.08.123
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    References listed on IDEAS

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    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.
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    Cited by:

    1. Khatri, Kejal & Narayan Mishra, Vishnu, 2018. "Generalized Szász–Mirakyan operators involving Brenke type polynomials," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 228-238.

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