In this paper we continue the study of certain Bernstein-Chlodovsky operators Bn⁎ 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 Bn⁎'s, such as saturation results. We also compare this new class of operators with the classical Bernstein-Chlodovsky ones, proving that the operators Bn⁎ provide better approximation results for certain functions.

Voronovskaya type results for Bernstein-Chlodovsky operators preserving e−2x

Cappelletti Montano M.;Leonessa V.
2020-01-01

Abstract

In this paper we continue the study of certain Bernstein-Chlodovsky operators Bn⁎ 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 Bn⁎'s, such as saturation results. We also compare this new class of operators with the classical Bernstein-Chlodovsky ones, proving that the operators Bn⁎ provide better approximation results for certain functions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/305591
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