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
来源：
RESULTS IN MATHEMATICS | 2016年 / 69卷 / 3-4期
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
  • [31] Approximation by bivariate Chlodowsky type Szász–Durrmeyer operators and associated GBS operators on weighted spaces
    Reşat Aslan
    M. Mursaleen
    Journal of Inequalities and Applications, 2022
  • [32] Chlodowsky-type Szasz operators via Boas-Buck-type polynomials and some approximation properties
    Braha, Naim L.
    Loku, Valdete
    Mursaleen, M.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [33] DEGREE OF APPROXIMATION FOR BIVARIATE SZASZ-KANTOROVICH TYPE BASED ON BRENKE TYPE POLYNOMIALS
    Begen, Selin
    Ilarslan, H. Gul Ince
    HONAM MATHEMATICAL JOURNAL, 2020, 42 (02): : 251 - 268
  • [34] Degree of approximation by Chlodowsky variant of Jakimovski-Leviatan-Durrmeyer type operators
    Neer, Trapti
    Acu, Ana Maria
    Agrawal, P. N.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (04) : 3445 - 3459
  • [35] The Approximation of Bivariate Blending Variant Szasz Operators Based Brenke Type Polynomials
    Baxhaku, Behar
    Zejnullahu, Ramadan
    Berisha, Artan
    ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [36] CHLODOWSKY-SZASZ-APPELL-TYPE OPERATORS FOR FUNCTIONS OF TWO VARIABLES
    Sidharth, Manjari
    Acu, Ana Maria
    Agrawal, P. N.
    ANNALS OF FUNCTIONAL ANALYSIS, 2017, 8 (04): : 446 - 459
  • [37] SZaSZ CHLODOWSKY TYPE OPERATORS COUPLING ADJOINT BERNOULLI'S POLYNOMIALS
    Rao, Nadeem
    Yadav, Avinash Kumar
    Shahzad, Mohammad
    Rani, Mamta
    MATHEMATICAL FOUNDATIONS OF COMPUTING, 2025,
  • [38] ON ORDER OF APPROXIMATION FUNCTION BY GENERALIZED SZASZ OPERATORS AND BERNSTEIN-CHLODOWSKY POLYNOMIALS
    Abdullayeva, Aytekin E.
    Mammadova, Aynur N.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2013, 38 (46): : 3 - 8
  • [39] CONVERGENCE OF DERIVATIVE OF SZASZ TYPE OPERATORS INVOLVING CHARLIER POLYNOMIALS
    Agrawal, Purshottam N.
    Sinha, Thakur Ashok K.
    Sharma, Avinash
    MATHEMATICAL FOUNDATIONS OF COMPUTING, 2022, 5 (01): : 1 - 15
  • [40] Szasz-Durrmeyer type operators based on Charlier polynomials
    Kajla, Arun
    Agrawal, P. N.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 268 : 1001 - 1014
12345