On Stancu-Type Generalization of Modified (p, q)-Szasz-Mirakjan-Kantorovich Operators

被引：2
作者：
Hu, Yong-Mo [1 ]
Cheng, Wen-Tao [2 ]
Gui, Chun-Yan [2 ]
Zhang, Wen-Hui [3 ,4 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China
[2] Anqing Normal Univ, Sch Math & Phys, Anqing 246133, Anhui, Peoples R China
[3] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[4] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷
基金：
中国国家自然科学基金;
关键词：
APPROXIMATION; Q)-ANALOG;
D O I：
10.1155/2021/6683004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present article, we construct (p, q)-Szasz-Mirakjan-Kantorovich-Stancu operators with three parameters lambda, alpha, ss. First, the moments and central moments are estimated. Then, local approximation properties of these operators are established via K -functionals and Steklov mean in means of modulus of continuity. Also, a Voronovskaja-type theorem is presented. Finally, the pointwise estimates, rate of convergence, and weighted approximation of these operators are studied.
引用
收藏
页数：11
相关论文
共 28 条
  • [1] APPROXIMATION BY BASKAKOV-DURRMEYER OPERATORS BASED ON (p, q)-INTEGERS
    Acar, Tuncer
    Aral, Ali
    Mursaleen, Mohammad
    [J]. MATHEMATICA SLOVACA, 2018, 68 (04) : 897 - 906
  • [2] On Kantorovich Modification of (p, q)-Bernstein Operators
    Acar, Tuncer
    Aral, Ali
    Mohiuddine, S. A.
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A3): : 1459 - 1464
  • [3] Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators
    Acar, Tuncer
    Aral, Ali
    Mohiuddine, S. A.
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A2): : 655 - 662
  • [4] Approximation by (p, q)-Baskakov-Durrmeyer-Stancu Operators
    Acar, Tuncer
    Mohiuddine, S. A.
    Mursaleen, Mohammad
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (06) : 1453 - 1468
  • [5] STANCU TYPE (p, q)-SZASZ-MIRAKYAN-BASKAKOV OPERATORS
    Acar, Tuncer
    Mursaleen, Mohammad
    Mohiuddine, S. A.
    [J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2018, 67 (01): : 116 - 128
  • [6] On a Modification of (p, q)-Szasz-Mirakyan Operators
    Acar, Tuncer
    Agrawal, Purshottam Narain
    Kumar, A. Sathish
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (01) : 155 - 167
  • [7] (p,q)-Generalization of Szasz-Mirakyan operators
    Acar, Tuncer
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (10) : 2685 - 2695
  • [8] Acar T, 2016, J INEQUAL APPL, DOI 10.1186/s13660-016-1045-9
  • [9] On (p, q)-analogue of Kantorovich type Bernstein-Stancu-Schurer operators
    Cai, Qing-Bo
    Zhou, Guorong
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 276 : 12 - 20
  • [10] DeVore R.A., 1993, Constructive Approximation
123