APPROXIMATION BY [r]-BASKAKOV-KANTOROVICHSEQUENCE

Authors

  • Ali A. Jaddoa Department of Mathematics, University of Basrah, College of Education of Pure Sciences, Basrah, IRAQ. Author
  • Ali J. Mohammad Department of Mathematics, University of Basrah, College of Education of Pure Sciences, Basrah, IRAQ. Author

Keywords:

Baskakov operators, Korovkin theorem, Voronovskajatype asymptotic theorem

Abstract

This paper modifies the classical Baskakov-Kantorovich sequence by incorporating a positive integer parameter r. The proposed modification aims to enhance the order of approximation and improve numerical accuracy. Initially, the convergence of the modified sequence is analyzed using Korovkin’s theorem. A Voronovskaja-type asymptotic formula is then established, providing a precise framework for estimating convergence and error. Finally, the study presents a numerical example with a test function, to compare the numerical results of the modified sequence
to the numerical results of the classical sequence. The results demonstrate that the modified sequence achieves superior numerical accuracy compared to the classical one

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Published

2026-02-11

Issue

Vol. 44 No. 1 (2026): JAMI

Section

Articles

License

Copyright (c) 2026 Journal of Applied Mathematics and Informatics

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