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Bivariate tensor product $(p, q)$ -analogue of Kantorovich-type Bernstein-Stancu-Schurer operators.

Authors :
Cai, Qing-Bo
Xu, Xiao-Wei
Zhou, Guorong
Source :
Journal of Inequalities & Applications. 11/14/2017, Vol. 2017 Issue 1, p1-14. 14p.
Publication Year :
2017

Abstract

In this paper, we construct a bivariate tensor product generalization of Kantorovich-type Bernstein-Stancu-Schurer operators based on the concept of $(p, q)$ -integers. We obtain moments and central moments of these operators, give the rate of convergence by using the complete modulus of continuity for the bivariate case and estimate a convergence theorem for the Lipschitz continuous functions. We also give some graphs and numerical examples to illustrate the convergence properties of these operators to certain functions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2017
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
126216334
Full Text :
https://doi.org/10.1186/s13660-017-1559-9