Approximation by Kantorovich type q-Bernstein operators

被引:0
|
作者
Dalmanoglu, Ozge [1 ]
机构
[1] Cankaya Univ, Dept Math & Comp, Ogretmenler St 14, TR-06530 Balgat Ankara, Turkey
关键词
Bernstein polynomial; Kantorovich type polynomials; q-integer; Korovkin theorem; modulus of continuity;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In the present paper, Kantorovich type of Bernstein polynomials based on q-integers is constructed. Approximation properties and rate of convergence of these operators are established with the help of the Korovkin theorem.
引用
收藏
页码:113 / +
页数:2
相关论文
共 50 条
  • [1] On statistical approximation properties of Kantorovich type q-Bernstein operators
    Dalmanoglu, Oezge
    Dogru, Oguen
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (5-6) : 760 - 771
  • [2] Approximation by q-Bernstein type operators
    Zoltán Finta
    [J]. Czechoslovak Mathematical Journal, 2011, 61 : 329 - 336
  • [3] Statistical approximation of modified Schurer-type q-Bernstein Kantorovich operators
    Lin, Qiu
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [4] Statistical approximation of modified Schurer-type q-Bernstein Kantorovich operators
    Qiu Lin
    [J]. Journal of Inequalities and Applications, 2014
  • [5] APPROXIMATION BY q-BERNSTEIN TYPE OPERATORS
    Finta, Zoltan
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (02) : 329 - 336
  • [6] Approximation Properties of Bivariate Extension of q-Bernstein–Schurer–Kantorovich operators
    Ana Maria Acu
    Carmen Violeta Muraru
    [J]. Results in Mathematics, 2015, 67 : 265 - 279
  • [7] Rate of Convergence of Modified Schurer-Type q-Bernstein Kantorovich Operators
    Sidharth, Manjari
    Agrawal, P. N.
    [J]. MATHEMATICAL ANALYSIS AND ITS APPLICATIONS, 2015, 143 : 243 - 253
  • [8] Approximation of Schurer type q-Bernstein-Kantorovich operators
    Ren, Mei-Ying
    Zeng, Xiao-Ming
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 12
  • [9] Approximation by Kantorovich Type q-Bernstein-Stancu Operators
    Mursaleen, M.
    Ansari, Khursheed J.
    Khan, Asif
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (01) : 85 - 107
  • [10] Approximation of Schurer type q-Bernstein-Kantorovich operators
    Mei-Ying Ren
    Xiao-Ming Zeng
    [J]. Journal of Inequalities and Applications, 2015