Approximation properties of modified (p, q)-Szasz-Mirakyan-Kantorovich operators

被引：1
|
作者：
Zheng, Zhongbin [1 ]
Fang, Jinwu [2 ]
Cheng, Wentao [3 ]
Guo, Zhidong [3 ]
Zhou, Xiaoling [3 ]
机构：
[1] China Acad Informat & Commun Technol, Shanghai 200232, Peoples R China
[2] Ind Internet Innovat Ctr Shanghai Co Ltd, Shanghai 200120, Peoples R China
[3] Anqing Normal Univ, Sch Math & Phys, Anqing 246133, Anhui, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 05期
基金：
中国国家自然科学基金;
关键词：
modified; (p; q)-Szasz-Mirakyan-Kantorovich operators; moduli of continuity; rate of convergence; weighted approximation;
D O I：
10.3934/math.2020317
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 modified (p, q)-Szasz-Mirakyan-Kantorovich operators based on (p, q)-calculus. Next, the moments computation formulas, the second and fourth order central moments computation formulas and other quantitative properties are investigated. Then, the approximation properties including local approximation, weighted approximation, rate of convergence and Voronovskaja type theorem are obtained. Finally, we generalize the operators by adding a parameter lambda.
引用
收藏
页码：4959 / 4973
页数：15
相关论文
共 50 条
  • [21] Some Approximation Properties of Szasz-Mirakyan-Bernstein Operators
    Tunc, Tuncay
    Simsek, Ersin
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, 7 (04): : 419 - 428
  • [22] q-Szasz-Mirakyan-Kantorovich Operators of Functions of Two Variables in Polynomial Weighted Spaces
    Orkcu, Mediha
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [23] Approximation properties of Szasz-Mirakyan operators preserving exponential functions
    Aral, Ali
    Inoan, Daniela
    Rasa, Ioan
    POSITIVITY, 2019, 23 (01) : 233 - 246
  • [24] APPROXIMATION PROPERTIES FOR MODIFIED q-BERNSTEIN-KANTOROVICH OPERATORS
    Mursaleen, M.
    Khan, Faisal
    Khan, Asif
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2015, 36 (09) : 1178 - 1197
  • [25] APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-KANTOROVICH OPERATORS
    Acu, Ana Maria
    Agrawal, P. N.
    Kumar, Dharmendra
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 2170 - 2197
  • [26] Some Approximation Properties of Szasz–Mirakyan–Bernstein Operators of the Chlodovsky Type
    T. Tunc
    E. Simsek
    Ukrainian Mathematical Journal, 2014, 66 : 928 - 936
  • [27] STANCU TYPE (p, q)-SZASZ-MIRAKYAN-BASKAKOV OPERATORS
    Acar, Tuncer
    Mursaleen, Mohammad
    Mohiuddine, S. A.
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2018, 67 (01): : 116 - 128
  • [28] On a Kantorovich Variant of (p,q)-Szasz-Mirakjan Operators
    Mursaleen, M.
    Alotaibi, Abdullah
    Ansari, Khursheed J.
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [29] Approximation by Szasz-Mirakyan-Baskakov-Stancu operators
    Mishra, Vishnu Narayan
    Sharma, Preeti
    AFRIKA MATEMATIKA, 2015, 26 (7-8) : 1313 - 1327
  • [30] On wavelets Kantorovich (p,q)-Baskakov operators and approximation properties
    Moreka, Alexander E.
    Kumar, Santosh
    Mursaleen, M.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01):
12345