On q-analogue of Bernstein-Schurer-Stancu operators

被引：38

作者：

Agrawal, P. N. ^{[1
]}

Gupta, Vijay ^{[2
]}

Kumar, A. Sathish ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

[2] Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110078, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 14期

关键词：

q-Bernstein-Schurer-Stancu operators; q-integers; Modulus of smoothness; Rate of convergence;

D O I：

10.1016/j.amc.2013.01.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we introduce the Stancu type generalization of the Bernstein-Schurer operators based on q integers. First, we prove the basic convergence of S-n,p((alpha,beta))(., q, x) and then obtain the rate of convergence by these operators in terms of the modulus of continuity and Voronovskaja type theorem. Further, we study local and global direct results for the operators S-n,p((alpha,beta))(., q, x). (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：7754 / 7764

页数：11

共 50 条

[1] Bivariate Bernstein-Schurer-Stancu type GBS operators in (p,q)-analogue
Mursaleen, M.
Ahasan, Mohd.
Ansari, K. J.
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01):
[2] DIRECT AND INVERSE THEOREMS FOR MULTIVARIATE BERNSTEIN-SCHURER-STANCU OPERATORS
Ozarslan, Mehmet Ali
Vedi, Tuba
MISKOLC MATHEMATICAL NOTES, 2015, 16 (02) : 1073 - 1089
[3] On a q-analogue of Stancu operators
Agratini, Octavian
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2010, 8 (01): : 191 - 198
[4] On (p, q)-analogue of Kantorovich type Bernstein-Stancu-Schurer operators
Cai, Qing-Bo
Zhou, Guorong
APPLIED MATHEMATICS AND COMPUTATION, 2016, 276 : 12 - 20
[5] On q-analogue of Stancu-Schurer-Kantorovich operators based on q-Riemann integral
Kang, Shin Min
Acu, Ana Maria
Rafiq, Arif
Kwun, Young Chel
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (03) : 564 - 577
[6] Chlodowsky variant of q-Bernstein-Schurer-Stancu operators
Tuba Vedi
Mehmet Ali Özarslan
Journal of Inequalities and Applications, 2014
[7] Chlodowsky variant of q-Bernstein-Schurer-Stancu operators
Vedi, Tuba
Ozarslan, Mehmet Ali
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[8] Approximating B-continuous functions using GBS operators of Bernstein-Schurer-Stancu type based on q-integers
Barbosu, Dan
Muraru, Carmen Violeta
APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 80 - 87
[9] 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
[10] On the Image of the Lupas q-Analogue of the Bernstein Operators
Gurel Yilmaz, Ovgu
Ostrovska, Sofiya
Turan, Mehmet
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2024, 47 (01)

← 1 2 3 4 5 →