Bivariate generalization of q-Bernstein-Kantorovich type operator

被引：3
|
作者：
Sharma, Preeti [1 ,2 ]
Mishra, Vishnu Narayan [1 ,3 ]
机构：
[1] Sardar Vallabhbhai Natl Inst Technol, Dept Appl Math & Humanities, Ichchhanath Mahadev Dumas Rd, Surat 395007, Gujarat, India
[2] Banasthali Univ, Dept Appl Math & Stat, Tonk, Rajasthan, India
[3] L 1627 Awadh Puri Colony Beniganj,Phase 3, Faizabad 224001, Uttar Pradesh, India
来源：
COGENT MATHEMATICS | 2016年 / 3卷
关键词：
q-analysis; q-integral operator; positive linear operators; q-Bernstein operators; modulus of continuity;
D O I：
10.1080/23311835.2016.1160587
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a generalization of the Kantorovich-type Bernstein operators based on q-integers and get a Bohman-Korovkin-type approximation theorem of these operators. We also compute the rate of convergence using the first modulus of smoothness.
引用
收藏
页数：9
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