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

页数：9

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