q-Bernstein-Schurer-Kantorovich type operators

被引：0
|
作者：
Agrawal, P. N. [1 ]
Goyal, Meenu [1 ]
Kajla, Arun [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
来源：
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2015年 / 8卷 / 03期
关键词：
q-Bernstein-Schurer-Kantorovich; Rate of convergence; Modulus of continuity; A-statistical convergence;
D O I：
10.1007/s40574-015-0034-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to present a Stancu type Kantorovich modification of q-Bernstein-Schurer operators introduced by Muraru (Mathematica LVI 2: 1-11, 2011) and modified by Ren and Zeng (Bull Korean Math Soc 50(4): 1145-1156, 2013). Here, we obtain a convergence theorem by using the well known Bohman-Korovkin criterion and find the estimate of the rate of convergence bymeans of modulus of continuity and Lipschitz function for these operators. Also, we establish a Korovkin type A-statistical approximation theorem.
引用
收藏
页码：169 / 180
页数：12
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