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

[41] On a Family of Parameter-Based Bernstein Type Operators with Shape-Preserving Properties
Nouri, Bahareh
Saeidian, Jamshid
JOURNAL OF MATHEMATICS, 2023, 2023
[42] Bernstein type operators having 1 and x j as fixed points
Finta, Zoltan
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (12): : 2257 - 2261
[43] Some approximation results on Chlodowsky type q-Bernstein-Schurer operators
Aslan, Resat
Mursaleen, M.
FILOMAT, 2023, 37 (23) : 8013 - 8028
[44] Note On Jakimovski-Leviatan Operators Preserving e-x
Acar, Ecem
Izgi, Aydin
Serenbay, Sevilay Kirci
APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2019, 4 (02) : 543 - 550
[45] On approximation of functions by certain operators preserving x(2)
Rempulska, Lucyna
Tomczak, Karolina
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2008, 49 (04): : 579 - 593
[46] Approximation and shape preserving properties by nonlinear Lupaş type Bernstein operators of max-product kind
Mansoori, Mohd Shanawaz
Khan, Asif
Ansari, Khursheed J.
ARABIAN JOURNAL OF MATHEMATICS, 2025,
[47] Some Approximation Results by Bivariate Bernstein-Kantorovich Type Operators on a Triangular Domain
Aslan, Resat
Izgi, Aydin
KYUNGPOOK MATHEMATICAL JOURNAL, 2022, 62 (03): : 467 - 484
[48] APPROXIMATION OF ANALYTIC FUNCTIONS BY BERNSTEIN-TYPE OPERATORS .2.
EISENBER.SM
WOOD, B
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (03): : 557 - &
[49] Approximation by certain linear operators preserving x2
Rempulska, Lucyna
Tomczak, Karolina
TURKISH JOURNAL OF MATHEMATICS, 2009, 33 (03) : 273 - 281
[50] SPLINE APPROXIMATION OPERATORS OF BERNSTEIN-SCHOENBERG TYPE IN ONE AND 2 VARIABLES
GOODMAN, TNT
LEE, SL
JOURNAL OF APPROXIMATION THEORY, 1981, 33 (03) : 248 - 263

← 1 2 3 4 5 →