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

被引：22

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.

引用

页数：14

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