On the rates of convergence of certain bivariate linear positive operators
2014
scientific article
english
- linear positive operator
- modulus of continuity
- order of approximation
- Voronovskaya type theorem
- Kantorovich operators
- Beta operators
EN In this paper, we present a sequence of linear positive bivariate operators and investigate the approximation properties of them. Next we study the rates of converge of this approximation by means modulus of continuity and functions from Lipschitz class. After we give a Voronovskaya type theorem for n Morever, we give an r th order generalization of these operators. Finally, we investigate approximation properties of this generalization and observe the rates of convergence for them.
117 - 129
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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