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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1-s2.0-S0022247X20304698-main.pdf
accesso aperto
Descrizione: Version of Record
Tipologia:
Pdf editoriale
Licenza:
Creative commons
Dimensione
333.74 kB
Formato
Adobe PDF
|
333.74 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
