GBS Operators of LupaAY-Durrmeyer Type Based on Polya Distribution

被引：32
|
作者：
Agrawal, P. N. [1 ]
Ispir, Nurhayat [2 ]
Kajla, Arun [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
[2] Gazi Univ, Sci & Arts Fac, Dept Math, TR-06500 Ankara, Turkey
来源：
RESULTS IN MATHEMATICS | 2016年 / 69卷 / 3-4期
关键词：
Lupas-Durrmeyer operators; B-continuous function; B-differentiable function; GBS operators; Polya distribution; mixed modulus of smoothness; STANCU TYPE; K-FUNCTIONALS; APPROXIMATION; SMOOTHNESS;
D O I：
10.1007/s00025-015-0507-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study an extension of the bivariate LupaAY-Durrmeyer operators based on Polya distribution. For these operators we get a Voronovskaja type theorem and the order of approximation using Peetre's K-functional. Then, we construct the Generalized Boolean Sum operators of LupaAYaEuro"Durrmeyer type and estimate the degree of approximation in terms of the mixed modulus of smoothness.
引用
收藏
页码：397 / 418
页数：22
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