An Improvement of the Order of Approximation by the Sequence of Bernstein-Kantorovich Operators
DOI:
https://doi.org/10.56714/bjrs.50.1.21Keywords:
Bernstein-Kantorovich, Linear positive, Korovkin’s Theorem, Voronovskaja formula, ApproximationAbstract
This paper presented an improvement of the order of approximation by the sequence of Bernstein-Kantorovich type operators in three ways. The approximation order obtained by these sequences is and respectively. Some theoretical results related to the convergence theorem and Voronovskaja asymptotic formula of the improvement sequences are presented. Then, some numerical examples for these sequences are given. The numerical results are supported by the improvement of the order of approximation. These improvements are done based on the research idea
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