Some approximation properties of bivariate Bleimann-Butzer-Hahn operators based on (p, q)-integers

被引：12
|
作者：
Mursaleen M. [1 ,2 ]
Nasiruzzaman M. [1 ]
机构：
[1] Department of Mathematics, Aligarh Muslim University, Aligarh
[2] Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah
来源：
Bollettino dell'Unione Matematica Italiana | 2017年 / 10卷 / 2期
关键词：
(p; q)-Bernstein operator; q)-Bleimann-Butzer-Hahn operators; q)-integers; Korovkin theorem; Lipschitz type maximal function; Modulus of continuity; q-bivariate Bleimann-Butzer-Hahn operators;
D O I：
10.1007/s40574-016-0080-2
中图分类号：
学科分类号：
摘要：
In this paper, we apply (p, q)-calculus to construct generalized bivariate Bleimann-Butzer-Hahn operators based on (p, q)-integers and obtain Korovkin type approximation theorem. Furthermore, we compute the rate of convergence for these operators by using the modulus of continuity and Lipschitz type maximal function. © 2016 Unione Matematica Italiana.
引用
收藏
页码：271 / 289
页数：18
相关论文
共 50 条
  • [41] Some approximation results for Stancu type Lupas-Schurer operators based on (p, q)-integers
    Kanat, K.
    Sofyalioglu, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 317 : 129 - 142
  • [42] Approximation by Bivariate (p, q)-Bernstein–Kantorovich Operators
    Tuncer Acar
    Ali Aral
    S. A. Mohiuddine
    Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 : 655 - 662
  • [43] Some approximation results on Bernstein-Schurer operators defined by (p, q)-integers
    Mursaleen, Mohammad
    Nasiruzzaman, Md
    Nurgali, Ashirbayev
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [44] Some approximation properties by a class of bivariate operators
    Acu, Ana Maria
    Acar, Tuncer
    Muraru, Carmen-Violeta
    Radu, Voichita Adriana
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (16) : 5551 - 5565
  • [45] APPROXIMATION BY MODIFIED LUPAS-STANCU OPERATORS BASED ON (p, q)-INTEGERS
    Khan, A.
    Abbas, Z.
    Qasim, M.
    Mursaleen, M.
    EURASIAN MATHEMATICAL JOURNAL, 2021, 12 (02): : 39 - 51
  • [46] SOME APPROXIMATION PROPERTIES OF A KIND OF (p, q)-PHILLIPS OPERATORS
    Cheng, Wentao
    Gui, Chunyan
    Hu, Yongmo
    MATHEMATICA SLOVACA, 2019, 69 (06) : 1381 - 1394
  • [47] Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators
    Acar, Tuncer
    Aral, Ali
    Mohiuddine, S. A.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A2): : 655 - 662
  • [48] Approximation by bivariate (p, q)-Baskakov-Kantorovich operators
    Ilarslan, Hatice Gul Ince
    Acar, Tuncer
    GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (03) : 397 - 407
  • [49] Approximation Properties of Chlodovsky-Type Two-Dimensional Bernstein Operators Based on (p, q)-Integers
    Karabiyik, Umit
    Ayik, Adem
    Karaisa, Ali
    SYMMETRY-BASEL, 2024, 16 (11):
  • [50] Approximation by Generalized Lupas Operators Based on q-Integers
    Qasim, Mohd
    Mursaleen, M.
    Khan, Asif
    Abbas, Zaheer
    MATHEMATICS, 2020, 8 (01)
12345