Approximation properties of q-Kantorovich-Stancu operator

被引：0
|
作者：
Shin Min Kang
Ana Maria Acu
Arif Rafiq
Young Chel Kwun
机构：
[1] Gyeongsang National University,Department of Mathematics and RINS
[2] Lucian Blaga University of Sibiu,Department of Mathematics and Informatics
[3] Lahore Leads University,Department of Mathematics
[4] Dong-A University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
41A10; 41A25; 41A36; -Stancu-Kantorovich operators; modulus of continuity; rate of convergence; Voronovskaja theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study some properties of Kantorovich-type generalizations of the q-Stancu operators. We obtain some approximation properties for these operators, estimating the rate of convergence by using the first and second modulus of continuity. Also, we investigate the statistical approximation properties of the q-Kantorovich-Stancu operators using the Korovkin-type statistical approximation theorem.
引用
收藏
相关论文
共 50 条
  • [31] ON THE EIGENSTRUCTURE OF THE q-STANCU OPERATOR
    Yilmaz, Ovgu Gurel
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2024, 73 (03): : 820 - 832
  • [32] On One- and Two-Dimensional α-Stancu-Schurer-Kantorovich Operators and Their Approximation Properties
    Heshamuddin, Md
    Rao, Nadeem
    Lamichhane, Bishnu P.
    Kilicman, Adem
    Ayman-Mursaleen, Mohammad
    MATHEMATICS, 2022, 10 (18)
  • [33] 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
  • [34] The Kantorovich variant of an operator defined by D. D. Stancu
    Kajla, Arun
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 316 : 400 - 408
  • [35] Some approximation properties of a kind of q-Gamma-Stancu operators
    Zhao, Chong
    Cheng, Wen-Tao
    Zeng, Xiao-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [36] Some approximation properties of a kind of q-Gamma-Stancu operators
    Chong Zhao
    Wen-Tao Cheng
    Xiao-Ming Zeng
    Journal of Inequalities and Applications, 2014
  • [37] Approximation Properties Of (p, q)-Variant Of Stancu-Schurer Operators
    Wafi, Abdul
    Rao, Nadeem
    Deepmala
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2019, 37 (04): : 137 - 151
  • [38] Statistical Approximation Properties of Modified q-Stancu-Beta Operators
    Mursaleen, M.
    Khan, Asif
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 683 - 690
  • [39] Approximation by the Parametric Generalization of Baskakov–Kantorovich Operators Linking with Stancu Operators
    S. A. Mohiuddine
    Naeem Ahmad
    Faruk Özger
    Abdullah Alotaibi
    Bipan Hazarika
    Iranian Journal of Science and Technology, Transactions A: Science, 2021, 45 : 593 - 605
  • [40] ON (p, q)-ANALOG OF STANCU-BETA OPERATORS AND THEIR APPROXIMATION PROPERTIES
    Mursaleen, M.
    Khan, Taqseer
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2018, 8 (01): : 136 - 143
12345