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Approximation by Kantorovich form of modified Szász–Mirakyan operators

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  • Dhamija, Minakshi
  • Pratap, Ram
  • Deo, Naokant

Abstract

In the present article, we consider the Kantorovich type generalized Szász–Mirakyan operators based on Jain and Pethe operators [32]. We study local approximation results in terms of classical modulus of continuity as well as Ditzian–Totik moduli of smoothness. Further we establish the rate of convergence in class of absolutely continuous functions having a derivative coinciding a.e. with a function of bounded variation.

Suggested Citation

  • Dhamija, Minakshi & Pratap, Ram & Deo, Naokant, 2018. "Approximation by Kantorovich form of modified Szász–Mirakyan operators," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 109-120.
    • Handle: RePEc:eee:apmaco:v:317:y:2018:i:c:p:109-120
    DOI: 10.1016/j.amc.2017.09.004
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    References listed on IDEAS

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    1. Danilo Costarelli & Gianluca Vinti, 2017. "Convergence for a family of neural network operators in Orlicz spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 290(2-3), pages 226-235, February.
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