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Approximation by the $[r]$-Baskakov sequence

Ali A. Jaddoa, Ali J. Mohammad Applicationes Mathematicae MSC: Primary 41A25; Secondary 41A36 DOI: 10.4064/am2538-10-2024 Opublikowany online: 4 November 2024

Streszczenie

We modify the classical Baskakov sequence by using a positive integer parameter $r$ to get a sequence that has a better order of approximation. We prove a convergence theorem for the modified sequence by using Korovkin’s theorem. We then give a Voronovskaya-type asymptotic theorem for this sequence. Finally, we give two examples showing that the modified sequence gives better numerical results than the classical sequence.

Autorzy

  • Ali A. JaddoaDepartment of Mathematics
    College of Education of Pure Science
    University of Basrah
    Basrah, Iraq
    e-mail
  • Ali J. MohammadDepartment of Mathematics
    College of Education of Pure Science
    University of Basrah
    Basrah, Iraq
    e-mail

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