Some approximation properties of a kind of q-Gamma-Stancu operators

被引：10

作者：

Zhao, Chong ^{[1
]}

Cheng, Wen-Tao ^{[2
]}

Zeng, Xiao-Ming ^{[2
]}

机构：

[1] Xiamen Univ, Dept Comp Sci, Xiamen 361005, Peoples R China

[2] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

q-Gamma-Stancu operators; approximation theorem; weighted approximation; rate of convergence; CONVERGENCE;

D O I：

10.1186/1029-242X-2014-94

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we propose the Stancu type generalization of a kind of q-Gamma operators. We estimate the moments of these operators and establish two direct and local approximation theorems of the operators. We also obtain the estimates of the rate of convergence and the weighted approximation of the operators. Furthermore, we present a Voronovskaya type asymptotic formula.

引用

页数：13

共 50 条

[41] Approximation properties by Schurer type q-Kantorovich-Stancu shifted knots operators
Alotaibi, Abdullah
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
[42] Approximation by Kantorovich Type q-Bernstein-Stancu Operators
M. Mursaleen
Khursheed J. Ansari
Asif Khan
Complex Analysis and Operator Theory, 2017, 11 : 85 - 107
[43] Approximation by (p, q)-Baskakov-Durrmeyer-Stancu Operators
Acar, Tuncer
Mohiuddine, S. A.
Mursaleen, Mohammad
COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (06) : 1453 - 1468
[44] Approximation by Kantorovich Type q-Bernstein-Stancu Operators
Mursaleen, M.
Ansari, Khursheed J.
Khan, Asif
COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (01) : 85 - 107
[45] Approximation by (p,q) Szasz-beta-Stancu operators
Sharma, Prerna Maheshwari
Abid, Mohammed
ARABIAN JOURNAL OF MATHEMATICS, 2020, 9 (01) : 191 - 200
[46] Approximation Properties of λ-Bernstein-Kantorovich-Stancu Operators
Bodur, Murat
Manav, Nesibe
Tasdelen, Fatma
MATHEMATICA SLOVACA, 2022, 72 (01) : 141 - 152
[47] Statistical approximation properties of Stancu type λ-Bernstein operators
Wang, Peng-Hui
Cai, Qing-Bo
PROCEEDINGS OF 2019 IEEE 2ND INTERNATIONAL CONFERENCE ON ELECTRONIC INFORMATION AND COMMUNICATION TECHNOLOGY (ICEICT 2019), 2019, : 178 - 182
[48] On Approximation Properties of Baskakov-Schurer-Szasz-Stancu Operators Based on q-integers
Mursaleen, M.
Al-Abied, A. A. H.
Ansari, Khursheed J.
FILOMAT, 2018, 32 (04) : 1359 - 1378
[49] Approximation properties and q-statistical convergence of Kantorovich variant of Stancu type Lupas operators
Malik, Gufran
Khan, Taqseer
Mursaleen, M.
FILOMAT, 2023, 37 (29) : 10107 - 10124
[50] Some approximation properties of q-Clilodowsky operators
Karsli, Harun
Gupta, Vijay
APPLIED MATHEMATICS AND COMPUTATION, 2008, 195 (01) : 220 - 229

← 1 2 3 4 5 →