Approximation properties of bivariate extension of blending type operators

被引:0
作者
Kaur, Jaspreet [1 ]
Goyal, Meenu [1 ]
机构
[1] Thapar Inst Engn & Technol, Patiala 147004, India
关键词
Modulus of continuity; Convergence of series and sequences; Rate of convergence; Approximation by positive operators; Asymptotic approximations; BERNSTEIN-KANTOROVICH OPERATORS; DURRMEYER OPERATORS;
D O I
10.2298/FIL2329945K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The present article is in the continuation of our previous work [26], where we have improved the order of approximation of alpha-Bernstein Paltanea operators. In the given note, we study the bivariate extension of first order modification of these operators and their approximation properties such as convergence, error of approximation in terms of complete and partial modulus of continuity and their asymptotic formula. We present numerical examples to show the convergence of functions of two variables with the help of MATLAB software. Also, we construct the GBS operators associated to the bivariate extension and present their approximation behavior.
引用
收藏
页码:9945 / 9959
页数:15
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