Browsing by Author "Yildiz, Sevda"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    Approximation by statistical convergence with respect to power series methods
    (2022) Bayram, Nilay Sahin; Yildiz, Sevda
    In the present work, using statistical convergence with respect to power series methods, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions. Then we give an example satisfying our approximation theorem. We study certain rate of convergence related to this method. In the final section we summarize these results to emphasize the importance of the study.
  • No Thumbnail Available
    Item
    An extension of Korovkin theorem via power series method
    (2022) Yildiz, Sevda; Bayram, Nilay Sahin
    In the present work, using the power series method, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions. We also explain that our theorem makes more sense with a striking example. We study the quantitative estimates of linear operators. In the final section, we summarize our new results.