In this paper we continue the study of certain Bernstein-Chlodovsky operators B_n^∗ preserving the exponential function e^{2x} (x ≥0), recently introduced in [4]. In particular, we prove some Voronovskaya type theorems and we deduce some properties of the B_n^∗’s, such as saturation results. We also compare this new class of operators with the classical Bernstein-Chlodovsky ones, proving that the operators B_^∗ provide better approximation results for certain functions.
Voronovskaya type results for Bernstein-Chlodovsky operators preserving $e^{2x}$
Vita Leonessa
2020-01-01
Abstract
In this paper we continue the study of certain Bernstein-Chlodovsky operators B_n^∗ preserving the exponential function e^{2x} (x ≥0), recently introduced in [4]. In particular, we prove some Voronovskaya type theorems and we deduce some properties of the B_n^∗’s, such as saturation results. We also compare this new class of operators with the classical Bernstein-Chlodovsky ones, proving that the operators B_^∗ provide better approximation results for certain functions.File in questo prodotto:
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