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.

引用

页数：14

共 50 条

[21] Voronovskaya Type Results and Operators Fixing Two Functions
Acu, Ana Maria
Maduta, Alexandra-Ioana
Rasa, Ioan
MATHEMATICAL MODELLING AND ANALYSIS, 2021, 26 (03) : 395 - 410
[22] QUANTITATIVE VORONOVSKAYA TYPE RESULTS FOR A SEQUENCE OF STANCU TYPE OPERATORS
Agrawal, P. N.
Acu, Ana-Maria
Bhardwaj, Neha
JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1519 - 1532
[23] A Voronovskaya type theorem associated to geometric series of Bernstein- Durrmeyer operators
Garoiu, Stefan-Lucian
CARPATHIAN JOURNAL OF MATHEMATICS, 2025, 41 (02) : 351 - 360
[24] Voronovskaya-type Results for Positive Linear Operators of Exponential Type and their Derivatives
Holhos, Adrian
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (04) : 1839 - 1861
[25] Bound-Preserving Operators and Bernstein Type Inequalities
Dimiter Dryanov
Richard Fournier
Computational Methods and Function Theory, 2004, 2 (2) : 397 - 414
[26] Bernstein-Jacobi-type operators preserving derivatives
Lara-Velasco, David
Perez, Teresa E.
COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (05):
[27] Voronovskaya-type Results for Positive Linear Operators of Exponential Type and their Derivatives
Adrian Holhoş
Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 : 1839 - 1861
[28] Quantitative q-Voronovskaya and q-Gruss-Voronovskaya-type results for q-Szasz operators
Acar, Tuncer
GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (04) : 459 - 468
[29] BERNSTEIN-DURRMEYER TYPE OPERATORS PRESERVING LINEAR FUNCTIONS
Gupta, Vijay
Duman, Oktay
MATEMATICKI VESNIK, 2010, 62 (04): : 259 - 264
[30] On Bernstein-Chlodowsky Type Operators Preserving Exponential Functions
Ozsarac, Firat
Aral, Ali
Karsli, Harun
MATHEMATICAL ANALYSIS I: APPROXIMATION THEORY, ICRAPAM 2018, 2020, 306 : 121 - 138

← 1 2 3 4 5 →