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Higher order \(\alpha \)-Bernstein–Kantorovich operators

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Abstract

In this paper, we discuss the higher-order \(\alpha \)-Bernstein–Kantorovich operators, which are associated with the Bernstein polynomials. We analyze various aspects, such as error estimations and Voronovskaja-type asymptotic formula. Finally, we provide a comparative study by visualizing the results graphically and interpreting the upper limit of the error numerically.

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Authors and Affiliations

  1. School of Basic Sciences, Central University of Haryana, Haryana, 123031, India

    Jyoti Yadav & Arun Kajla

  2. Department of Mathematics and Computer Sciences, University of Prishtina, Avenue Mother Teresa, No-5, 10000, Pristina, Kosova

    Naim L. Braha

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  1. Jyoti Yadav
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  2. Naim L. Braha
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Correspondence to Arun Kajla.

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Yadav, J., Braha, N.L. & Kajla, A. Higher order \(\alpha \)-Bernstein–Kantorovich operators. J. Appl. Math. Comput. (2024). https://doi.org/10.1007/s12190-024-02047-x

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