Approximation on a class of Szasz-Mirakyan operators via second kind of beta operators

被引：5
作者：
Nasiruzzaman, M. [1 ]
Rao, Nadeem [2 ]
Srivastava, Anshul [3 ]
Kumar, Ravi [4 ]
机构：
[1] Univ Tabuk, Dept Math, Fac Sci, Tabuk, Saudi Arabia
[2] Jamia Millia Islamia, Dept Math, New Delhi, India
[3] Dr APJ Abdul Kalam Tech Univ, Fac Appl Sci, Lucknow, Uttar Pradesh, India
[4] Patna Univ, Post Grad Dept Math, Patna, Bihar, India
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期
关键词：
Szasz-Mirakyan operators; Modulus of continuity; Rate of convergence; Dunkl analogue; STATISTICAL CONVERGENCE; KOROVKIN; SEQUENCES; FAMILY; (P;
D O I：
10.1186/s13660-020-02317-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present article, we construct a new sequence of positive linear operators via Dunkl analogue of modified Szasz-Durrmeyer operators. We study the moments and basic results. Further, we investigate the pointwise approximation and uniform approximation results in various functional spaces for these sequences of positive linear operators. Finally, we prove the global approximation and A-statistical convergence results for these operators.
引用
收藏
页数：13
相关论文
共 40 条
  • [1] Acar T., 2019, CONSTR MATH ANAL, V2, P98, DOI [4179399, DOI 10.33205/CMA.547221]
  • [2] APPROXIMATION BY BASKAKOV-DURRMEYER OPERATORS BASED ON (p, q)-INTEGERS
    Acar, Tuncer
    Aral, Ali
    Mursaleen, Mohammad
    [J]. MATHEMATICA SLOVACA, 2018, 68 (04) : 897 - 906
  • [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] A Dunkl type generalization of Szasz operators via post-quantum calculus
    Alotaibi, Abdullah
    Nasiruzzaman, Md.
    Mursaleen, M.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [7] [Anonymous], MATH METHODS APPL SC
  • [8] [Anonymous], REV R ACAD CIENC E A
  • [9] [Anonymous], SYMMETRY BASEL
  • [10] ON STRONG MATRIX SUMMABILITY WITH RESPECT TO A MODULUS AND STATISTICAL CONVERGENCE
    CONNOR, J
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1989, 32 (02): : 194 - 198
1234