Approximation by Bivariate Lupa and Szasz-Brenke type Operators

被引：0
作者：
Ispir, Nurhayat [1 ]
机构：
[1] Gazi Univ, Dept Math, Fac Sci, TR-06500 Ankara, Turkey
来源：
7TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2018) | 2018年 / 2037卷
关键词：
Lupa operators; Szasz operators; Brenke polynomials; degree of approximation;
D O I：
10.1063/1.5078469
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, a combination of Lupas operators and Chlodowsky-Szasz operators based on Brenke polynomials is introduced. The degree of approximation of these bivariate operators is examined in terms of the complete modulus and partial modulus of continuity and results related to Lipschitz classes are given. Finally, the rate of convergence of the operators to certain functions are given by graphical examples.
引用
收藏
页数：8
相关论文
共 10 条
[1]  
Agratini O., 2000, APPL PHYS LETT, V11, P47
[2]  
Agratini O., 1999, Univ. Nis, V14, P41
[3]   Degree of Approximation for Bivariate Chlodowsky-Szasz-Charlier Type Operators [J].
Agrawal, Purshottam N. ;
Ispir, Nurhayat .
RESULTS IN MATHEMATICS, 2016, 69 (3-4) :369-385
[4]  
Akkas B. C. R., 2013, J FUNCTION SPACES AP, P9
[5]   Approximation by Kantorovich-Szasz Type Operators Based on Brenke Type Polynomials [J].
Atakut, Cigdem ;
Buyukyazici, Ibrahim .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2016, 37 (12) :1488-1502
[6]  
Garg T., 2017, J INEQUAL APPL, V156, P1
[7]  
Lupas A, 1995, MATH RES, V86, P201
[8]   On Chlodowsky variant of Szasz operators by Brenke type polynomials [J].
Mursaleen, M. ;
Ansari, Khursheed J. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 271 :991-1003
[9]   CHLODOWSKY-SZASZ-APPELL-TYPE OPERATORS FOR FUNCTIONS OF TWO VARIABLES [J].
Sidharth, Manjari ;
Acu, Ana Maria ;
Agrawal, P. N. .
ANNALS OF FUNCTIONAL ANALYSIS, 2017, 8 (04) :446-459
[10]   Generalization of Szasz operators involving Brenke type polynomials [J].
Varma, Serhan ;
Sucu, Sezgin ;
Icoz, Gurhan .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (02) :121-127
1