Approximation by Half Terms of Baskakov-Kantorovich Sequence of Linear Positive Operators

Authors

DOI:

https://doi.org/10.26713/cma.v15i5.2794

Keywords:

Baskakov operators, Korovkin theorem, Voronovskaja-type asymptotic theorem, Numerical experiments

Abstract

 This paper modified the Baskakov-Kantorovich sequence by taking the half terms of the sequence. Firstly, the convergence of this sequence was shown using Korovkin’s theorem. Secondly, the Voronovskaja-type asymptotic theorem for this sequence is established. Finally, this sequence gives two numerical examples to approximate two test functions. Then, the numerical outcomes will be contrasted with those of the corresponding classical sequence. Compared to the classical sequence, the modified sequence produces superior numerical results.

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References

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Published

31-12-2024
CITATION

How to Cite

Jaddoa, A. A., & Mohammad, A. J. (2024). Approximation by Half Terms of Baskakov-Kantorovich Sequence of Linear Positive Operators. Communications in Mathematics and Applications, 15(5), 1515–1523. https://doi.org/10.26713/cma.v15i5.2794

Issue

Vol. 15 No. 5 (2024)

Section

Research Article

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