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

被引：19
|
作者：
Acar, Tuncer [1 ]
Cappelletti Montano, Mirella [2 ]
Garrancho, Pedro [3 ]
Leonessa, Vita [4 ]
机构：
[1] Selcuk Univ, Dept Math, Selcuklu, Konya, Turkey
[2] Univ Bari Aldo Moro, Dept Math, Bari, Italy
[3] Univ Jaen, Dept Math, Jaen, Spain
[4] Univ Basilicata, Dept Math Comp Sci & Econ, Potenza, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 491卷 / 01期
关键词：
Positive operators; Modified Bernstein-Chlodovsky operators; Voronovskaya type theorem; Saturation;
D O I：
10.1016/j.jmaa.2020.124307
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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-n* provide better approximation results for certain functions. Published by Elsevier Inc.
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页数：14
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