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