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Blending type approximation by GBS operators of bivariate tensor product of λ-Bernstein-Kantorovich type.
- Source :
-
Journal of Inequalities & Applications . 10/1/2018, Vol. 2018 Issue 1, p1-1. 1p. - Publication Year :
- 2018
-
Abstract
- In this paper, we introduce a family of GBS<inline-graphic></inline-graphic> operators of bivariate tensor product of λ-Bernstein-Kantorovich type. We estimate the rate of convergence of such operators for B-continuous and B-differentiable functions by using the mixed modulus of smoothness, establish the Voronovskaja type asymptotic formula for the bivariate λ-Bernstein-Kantorovich operators, as well as give some examples and their graphs to show the effect of convergence. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2018
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 132113212
- Full Text :
- https://doi.org/10.1186/s13660-018-1862-0