Degree of Approximation for Bivariate Chlodowsky-Szasz-Charlier Type Operators

被引:32
|
作者
Agrawal, Purshottam N. [1 ]
Ispir, Nurhayat [2 ]
机构
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
[2] Gazi Univ, Dept Math, Fac Sci, TR-06500 Ankara, Turkey
关键词
Chlodowsky-Szasz operators; Charlier polynomials; GBS operators; weighted modulus of continuity; BERNSTEIN-CHLODOVSKY POLYNOMIALS; THEOREM;
D O I
10.1007/s00025-015-0495-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a combination of Chlodowsky polynomials with generalized Szasz operators involving Charlier polynomials. We give the degree of approximation for these bivariate operators by means of the complete and partial modulus of continuity, and also by using weighted modulus of continuity. Furthermore, we construct a GBS (Generalized Boolean Sum) operator of bivariate Chlodowsky-Szasz-Charlier type and estimate the order of approximation in terms of mixed modulus of continuity.
引用
收藏
页码:369 / 385
页数:17
相关论文
共 50 条
  • [21] BLENDING TYPE APPROXIMATION BY COMPLEX SZASZ-DURRMEYER-CHLODOWSKY OPERATORS IN COMPACT DISKS
    Goyal, Meenu
    Agrawal, P. N.
    MATHEMATICA SLOVACA, 2019, 69 (05) : 1077 - 1088
  • [22] On Chlodowsky variant of Szasz operators by Brenke type polynomials
    Mursaleen, M.
    Ansari, Khursheed J.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 271 : 991 - 1003
  • [23] Degree of approximation by Chlodowsky variant of Jakimovski–Leviatan–Durrmeyer type operators
    Trapti Neer
    Ana Maria Acu
    P. N. Agrawal
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 3445 - 3459
  • [24] Approximation properties of (p, q) bivariate Szasz Beta type operators
    Khan, Shuzaat Ali
    Rao, Nadeem
    Khan, Taqseer
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (49): : 382 - 399
  • [25] Szasz Type Operators Involving Charlier Polynomials of Blending Type
    Chauhan, Ruchi
    Baxhaku, Behar
    Agrawal, Purshottam N.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (03) : 1197 - 1226
  • [26] Approximation by Szasz-Chlodowsky type operators associating 2D-Appell polynomials
    Ali, Mahvish
    Kadak, Ugur
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2022, 102 (10):
  • [28] Quantitative Estimates for GBS Operators of Chlodowsky-Szasz Type
    Ispir, Nurhayat
    FILOMAT, 2017, 31 (05) : 1175 - 1184
  • [29] Degree of Approximation for Bivariate Generalized Bernstein Type Operators
    Tuncer Acar
    Arun Kajla
    Results in Mathematics, 2018, 73
  • [30] Degree of Approximation for Bivariate Generalized Bernstein Type Operators
    Acar, Tuncer
    Kajla, Arun
    RESULTS IN MATHEMATICS, 2018, 73 (02)