On (p, q)-analogue of Kantorovich type Bernstein-Stancu-Schurer operators

被引：50

作者：

Cai, Qing-Bo ^{[1
]}

Zhou, Guorong ^{[2
]}

机构：

[1] Quanzhon Normal Univ, Sch Math & Comp Sci, Quanzhou 362000, Peoples R China

[2] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 276卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

(p q)-integers; Bernstein-Stancu-Schurer operators; A-statistical convergence; Rate of convergence; Lipschitz continuous functions;

D O I：

10.1016/j.amc.2015.12.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new kind of Kantorovich-type Bernstein-Stancu-Schurer operators based on the concept of (p, q)-integers. We investigate statistical approximation properties and establish a local approximation theorem, we also give a convergence theorem for the Lipschitz continuous functions. Finally, we give some graphics and numerical examples to illustrate the convergence properties of operators to some functions. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：12 / 20

页数：9

共 50 条

[41] Kantorovich variant of a new kind of q-Bernstein-Schurer operators
Ruchi, Ruchi
Ispir, Nurhayat
Agrawal, P. N.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (16) : 5687 - 5706
[42] NOTE ON A q-ANALOGUE OF STANCU-KANTOROVICH OPERATORS
Acu, Ana Maria
Barbosu, Dan
Sofonea, Daniel Florin
MISKOLC MATHEMATICAL NOTES, 2015, 16 (01) : 3 - 15
[43] Some approximation results by (p, q)-analogue of Bernstein-Stancu operators
Mursaleen, M.
Ansari, Khursheed J.
Khan, Asif
APPLIED MATHEMATICS AND COMPUTATION, 2015, 264 : 392 - 402
[44] APPROXIMATION PROPERTIES OF THE GENERALIZED q-BERNSTEIN-SCHURER-KANTOROVICH OPERATORS
Mursaleen, M.
Khan, T.
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2016,
[45] ON STANCU TYPE GENERALIZATION OF (p, q)-BASKAKOV-KANTOROVICH OPERATORS
Kanat, Kadir
Sofyalioglu, Melek
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1995 - 2013
[46] On (p, q)-analogue of modified Bernstein–Schurer operators for functions of one and two variables
Qing-Bo Cai
Journal of Applied Mathematics and Computing, 2017, 54 : 1 - 21
[47] Some statistical approximation properties of Kantorovich-type q-Bernstein-Stancu operators
Mei-Ying Ren
Xiao-Ming Zeng
Journal of Inequalities and Applications, 2014
[48] Stancu-Type Generalized q-Bernstein-Kantorovich Operators Involving Bezier Bases
Cheng, Wen-Tao
Nasiruzzaman, Md
Mohiuddine, Syed Abdul
MATHEMATICS, 2022, 10 (12)
[49] Some statistical approximation properties of Kantorovich-type q-Bernstein-Stancu operators
Ren, Mei-Ying
Zeng, Xiao-Ming
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[50] Approximation Properties of Bivariate Extension of q-Bernstein-Schurer-Kantorovich operators
Acu, Ana Maria
Muraru, Carmen Violeta
RESULTS IN MATHEMATICS, 2015, 67 (3-4) : 265 - 279

← 1 2 3 4 5 →