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

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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Publication Details

Journal
Communications in Mathematics and Applications
Published
2024-12-31
DOI
https://doi.org/10.26713/cma.v15i5.2794
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

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

Ali J. Mohammad, Ali A. Jaddoa
Communications in Mathematics and Applications
Approximation Theory and Sequence Spaces
article

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

Ali J. Mohammad, Ali A. Jaddoa
article en

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.

Communications in Mathematics and ApplicationsVol. 15(5)
University of Basrah (IQ)
Openalex Percentile: Top 72%
Approximation Theory and Sequence Spaces
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Approximation by Half Terms of Baskakov-Kantorovich Sequence of Linear Positive Operators — Ali J. Mohammad, Ali A. Jaddoa · Communications in Mathematics and Applications (2024) | TGRS Research Map | TGRS