Abstract
In this paper we will prove the Korovkin type theorem for Bernstein–Kantorovich type operators via \(A-\) statistical convergence and power summability method. Also we give the rate of the convergence related to the above summability methods and in the last sections we give a kind of Voronovskaya type theorem for \(A-\) statistical convergence and Grüss–Voronovskaya type theorem.
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Braha, N.L. Korovkin type theorem for Bernstein–Kantorovich operators via power summability method. Anal.Math.Phys. 10, 62 (2020). https://doi.org/10.1007/s13324-020-00407-x
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DOI: https://doi.org/10.1007/s13324-020-00407-x
Keywords
- \(A-\) statistical convergence
- Bernstein–Kantorovich operators
- Power summability method
- Korovkin type theorem
- Voronovskaya type theorem
- Rate of convergence